16972567456 has 192 divisors, whose sum is σ = 39511342080. Its totient is φ = 7106641920.

The previous prime is 16972567441. The next prime is 16972567481. The reversal of 16972567456 is 65476527961.

It is a self number, because there is not a number n which added to its sum of digits gives 16972567456.

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, 27687406 + ... + 27688018.

It is an arithmetic number, because the mean of its divisors is an integer number (205788240).

Almost surely, 2^16972567456 is an apocalyptic number.

16972567456 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 16972567456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755671040).

16972567456 is an abundant number, since it is smaller than the sum of its proper divisors (22538774624).

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

16972567456 is a wasteful number, since it uses less digits than its factorization.

16972567456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 58.

The spelling of 16972567456 in words is "sixteen billion, nine hundred seventy-two million, five hundred sixty-seven thousand, four hundred fifty-six".