16504863264 has 336 divisors, whose sum is σ = 52090456320. Its totient is φ = 5134026240.

The previous prime is 16504863257. The next prime is 16504863283. The reversal of 16504863264 is 46236840561.

16504863264 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 4 + 8 + 632 + 6 + 4 = 666.

It is a super-2 number, since 2×16504863264² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20971479 + ... + 20972265.

It is an arithmetic number, because the mean of its divisors is an integer number (155031120).

Almost surely, 2^16504863264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16504863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26045228160).

16504863264 is an abundant number, since it is smaller than the sum of its proper divisors (35585593056).

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

16504863264 is an equidigital number, since it uses as much as digits as its factorization.

16504863264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 16504863264 in words is "sixteen billion, five hundred four million, eight hundred sixty-three thousand, two hundred sixty-four".