1353538368 has 672 divisors, whose sum is σ = 5325465600. Its totient is φ = 325140480.

The previous prime is 1353538357. The next prime is 1353538369. The reversal of 1353538368 is 8638353531.

1353538368 is a `hidden beast` number, since 1 + 3 + 53 + 538 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1353538368² = 3664132227296206848, which contains 22 as substring.

Its product of digits (777600) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353538369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43662513 + ... + 43662543.

It is an arithmetic number, because the mean of its divisors is an integer number (7924800).

Almost surely, 2^1353538368 is an apocalyptic number.

1353538368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662732800).

1353538368 is an abundant number, since it is smaller than the sum of its proper divisors (3971927232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1353538368 is a wasteful number, since it uses less digits than its factorization.

1353538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1353538368 is about 36790.4657214339. The cubic root of 1353538368 is about 1106.1741967785.

The spelling of 1353538368 in words is "one billion, three hundred fifty-three million, five hundred thirty-eight thousand, three hundred sixty-eight".