5538145536 has 864 divisors, whose sum is σ = 22039879680. Its totient is φ = 1293926400.

The previous prime is 5538145513. The next prime is 5538145549. The reversal of 5538145536 is 6355418355.

5538145536 is a `hidden beast` number, since 55 + 38 + 14 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5538145491 and 5538145500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104493286 + ... + 104493338.

It is an arithmetic number, because the mean of its divisors is an integer number (25509120).

Almost surely, 2^5538145536 is an apocalyptic number.

5538145536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5538145536 is the 42966-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5538145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019939840).

5538145536 is an abundant number, since it is smaller than the sum of its proper divisors (16501734144).

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

5538145536 is a wasteful number, since it uses less digits than its factorization.

5538145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 5538145536 is about 74418.7176454956. The cubic root of 5538145536 is about 1769.2455886787.

The spelling of 5538145536 in words is "five billion, five hundred thirty-eight million, one hundred forty-five thousand, five hundred thirty-six".