32113133365728 has 96 divisors (see below), whose sum is σ = 84870722764800. Its totient is φ = 10631754861056.

The previous prime is 32113133365723. The next prime is 32113133365759. The reversal of 32113133365728 is 82756333131123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113133365721) 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 15 ways as a sum of consecutive naturals, for example, 6960358 + ... + 10614746.

It is an arithmetic number, because the mean of its divisors is an integer number (884070028800).

Almost surely, 2^{32113133365728} 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 32113133365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42435361382400).

32113133365728 is an abundant number, since it is smaller than the sum of its proper divisors (52757589399072).

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

32113133365728 is a wasteful number, since it uses less digits than its factorization.

32113133365728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655024 (or 3655016 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 32113133365728 in words is "thirty-two trillion, one hundred thirteen billion, one hundred thirty-three million, three hundred sixty-five thousand, seven hundred twenty-eight".