16964557056 has 432 divisors, whose sum is σ = 55235747840. Its totient is φ = 5173217280.

The previous prime is 16964557021. The next prime is 16964557063. The reversal of 16964557056 is 65075546961.

16964557056 is a `hidden beast` number, since 1 + 6 + 9 + 64 + 5 + 570 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×16964557056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16964556993 and 16964557011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36640281 + ... + 36640743.

Almost surely, 2^16964557056 is an apocalyptic number.

16964557056 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 16964557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27617873920).

16964557056 is an abundant number, since it is smaller than the sum of its proper divisors (38271190784).

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

16964557056 is an equidigital number, since it uses as much as digits as its factorization.

16964557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 16964557056 in words is "sixteen billion, nine hundred sixty-four million, five hundred fifty-seven thousand, fifty-six".