15116564736 has 360 divisors, whose sum is σ = 55483676864. Its totient is φ = 3986288640.

The previous prime is 15116564677. The next prime is 15116564761. The reversal of 15116564736 is 63746561151.

15116564736 is a `hidden beast` number, since 1 + 5 + 1 + 16 + 564 + 73 + 6 = 666.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 15116564691 and 15116564700.

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 39 ways as a sum of consecutive naturals, for example, 1882971 + ... + 1890981.

Almost surely, 2^15116564736 is an apocalyptic number.

15116564736 is a gapful number since it is divisible by the number (16) 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 15116564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27741838432).

15116564736 is an abundant number, since it is smaller than the sum of its proper divisors (40367112128).

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

15116564736 is an equidigital number, since it uses as much as digits as its factorization.

15116564736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8036 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 15116564736 in words is "fifteen billion, one hundred sixteen million, five hundred sixty-four thousand, seven hundred thirty-six".