15164244663456 has 192 divisors, whose sum is σ = 48202026808320. Its totient is φ = 4074965299200.

The previous prime is 15164244663413. The next prime is 15164244663551. The reversal of 15164244663456 is 65436644246151.

15164244663456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15164244663396 and 15164244663405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16118815 + ... + 17033633.

It is an arithmetic number, because the mean of its divisors is an integer number (251052222960).

Almost surely, 2^{15164244663456} is an apocalyptic number.

15164244663456 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 15164244663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24101013404160).

15164244663456 is an abundant number, since it is smaller than the sum of its proper divisors (33037782144864).

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

15164244663456 is a wasteful number, since it uses less digits than its factorization.

15164244663456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916307 (or 916299 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 57.

The spelling of 15164244663456 in words is "fifteen trillion, one hundred sixty-four billion, two hundred forty-four million, six hundred sixty-three thousand, four hundred fifty-six".