32981465664 has 567 divisors, whose sum is σ = 117456922947. Its totient is φ = 8821790208.

The previous prime is 32981465659. The next prime is 32981465677. The reversal of 32981465664 is 46656418923.

The square root of 32981465664 is 181608.

It is a perfect power (a square), and thus also a powerful number.

32981465664 is a `hidden beast` number, since 32 + 9 + 8 + 1 + 46 + 566 + 4 = 666.

It is a super-2 number, since 2×32981465664² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32981465664.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 701733289 + ... + 701733335.

Almost surely, 2^32981465664 is an apocalyptic number.

32981465664 is the 181608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32981465664

32981465664 is an abundant number, since it is smaller than the sum of its proper divisors (84475457283).

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

32981465664 is a wasteful number, since it uses less digits than its factorization.

32981465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 82 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 32981465664 in words is "thirty-two billion, nine hundred eighty-one million, four hundred sixty-five thousand, six hundred sixty-four".