32961981465504 has 480 divisors, whose sum is σ = 121746067027200. Its totient is φ = 8693266788864.

The previous prime is 32961981465503. The next prime is 32961981465527. The reversal of 32961981465504 is 40556418916923.

32961981465504 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 1 + 9 + 81 + 46 + 5 + 504 = 666.

32961981465504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (32961981465503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10131757 + ... + 12983699.

It is an arithmetic number, because the mean of its divisors is an integer number (253637639640).

Almost surely, 2^{32961981465504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32961981465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60873033513600).

32961981465504 is an abundant number, since it is smaller than the sum of its proper divisors (88784085561696).

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

32961981465504 is a wasteful number, since it uses less digits than its factorization.

32961981465504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851999 (or 2851968 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 32961981465504 in words is "thirty-two trillion, nine hundred sixty-one billion, nine hundred eighty-one million, four hundred sixty-five thousand, five hundred four".