32966460438912 has 2880 divisors, whose sum is σ = 135416685650400. Its totient is φ = 7788401786880.

The previous prime is 32966460438871. The next prime is 32966460438929. The reversal of 32966460438912 is 21983406466923.

32966460438912 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 6 + 4 + 604 + 3 + 8 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 32966460438912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 143958342414 + ... + 143958342642.

Almost surely, 2^{32966460438912} is an apocalyptic number.

32966460438912 is a gapful number since it is divisible by the number (32) 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 32966460438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67708342825200).

32966460438912 is an abundant number, since it is smaller than the sum of its proper divisors (102450225211488).

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

32966460438912 is a wasteful number, since it uses less digits than its factorization.

32966460438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 32966460438912 in words is "thirty-two trillion, nine hundred sixty-six billion, four hundred sixty million, four hundred thirty-eight thousand, nine hundred twelve".