13613288976 has 225 divisors, whose sum is σ = 45932799231. Its totient is φ = 3881110464.

The previous prime is 13613288957. The next prime is 13613288981. The reversal of 13613288976 is 67988231631.

The square root of 13613288976 is 116676.

It is a perfect power (a square), and thus also a powerful number.

13613288976 is a `hidden beast` number, since 13 + 613 + 2 + 8 + 8 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29402121 + ... + 29402583.

Almost surely, 2^13613288976 is an apocalyptic number.

13613288976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13613288976 is the 116676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13613288976

13613288976 is an abundant number, since it is smaller than the sum of its proper divisors (32319510255).

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

13613288976 is an frugal number, since it uses more digits than its factorization.

13613288976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 475 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13613288976 in words is "thirteen billion, six hundred thirteen million, two hundred eighty-eight thousand, nine hundred seventy-six".