32541964274952 has 288 divisors, whose sum is σ = 99002069712000. Its totient is φ = 9644969790720.

The previous prime is 32541964274917. The next prime is 32541964274969. The reversal of 32541964274952 is 25947246914523.

It is a happy number.

32541964274952 is a `hidden beast` number, since 3 + 2 + 5 + 419 + 64 + 2 + 74 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32541964274952.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634234083 + ... + 634285389.

It is an arithmetic number, because the mean of its divisors is an integer number (343757186500).

Almost surely, 2^{32541964274952} 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 32541964274952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49501034856000).

32541964274952 is an abundant number, since it is smaller than the sum of its proper divisors (66460105437048).

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

32541964274952 is a wasteful number, since it uses less digits than its factorization.

32541964274952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52937 (or 52919 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 32541964274952 in words is "thirty-two trillion, five hundred forty-one billion, nine hundred sixty-four million, two hundred seventy-four thousand, nine hundred fifty-two".