16325172864 has 960 divisors, whose sum is σ = 66131398080. Its totient is φ = 3914127360.

The previous prime is 16325172859. The next prime is 16325172889. The reversal of 16325172864 is 46827152361.

16325172864 is a `hidden beast` number, since 1 + 632 + 5 + 1 + 7 + 2 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×16325172864² (a number of 21 digits) contains 22 as substring.

Its product of digits (483840) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1255782522 + ... + 1255782534.

It is an arithmetic number, because the mean of its divisors is an integer number (68886873).

Almost surely, 2^16325172864 is an apocalyptic number.

16325172864 is a gapful number since it is divisible by the number (14) 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 16325172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33065699040).

16325172864 is an abundant number, since it is smaller than the sum of its proper divisors (49806225216).

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

16325172864 is an equidigital number, since it uses as much as digits as its factorization.

16325172864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 16325172864 in words is "sixteen billion, three hundred twenty-five million, one hundred seventy-two thousand, eight hundred sixty-four".