32314022112096 has 72 divisors (see below), whose sum is σ = 93151808666280. Its totient is φ = 10623788084736.

The previous prime is 32314022112083. The next prime is 32314022112133. The reversal of 32314022112096 is 69021122041323.

32314022112096 is a `hidden beast` number, since 3 + 2 + 31 + 402 + 2 + 11 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×32314022112096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32314022112096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768482166 + ... + 768524213.

It is an arithmetic number, because the mean of its divisors is an integer number (1293775120365).

Almost surely, 2^{32314022112096} is an apocalyptic number.

32314022112096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32314022112096 is an abundant number, since it is smaller than the sum of its proper divisors (60837786554184).

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

32314022112096 is a wasteful number, since it uses less digits than its factorization.

32314022112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537006468 (or 1537006457 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 32314022112096 in words is "thirty-two trillion, three hundred fourteen billion, twenty-two million, one hundred twelve thousand, ninety-six".