16164446256 has 240 divisors, whose sum is σ = 52872258816. Its totient is φ = 4514425344.

The previous prime is 16164446239. The next prime is 16164446257. The reversal of 16164446256 is 65264446161.

16164446256 is a `hidden beast` number, since 1 + 6 + 16 + 4 + 4 + 4 + 625 + 6 = 666.

It is a super-2 number, since 2×16164446256² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16164446257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23666491 + ... + 23667173.

Almost surely, 2^16164446256 is an apocalyptic number.

16164446256 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 16164446256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26436129408).

16164446256 is an abundant number, since it is smaller than the sum of its proper divisors (36707812560).

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

16164446256 is a wasteful number, since it uses less digits than its factorization.

16164446256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

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

The spelling of 16164446256 in words is "sixteen billion, one hundred sixty-four million, four hundred forty-six thousand, two hundred fifty-six".