32312538545472 has 336 divisors, whose sum is σ = 94886958816000. Its totient is φ = 10510963212288.

The previous prime is 32312538545431. The next prime is 32312538545509. The reversal of 32312538545472 is 27454583521323.

32312538545472 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 2 + 53 + 8 + 545 + 47 + 2 = 666.

It is a super-2 number, since 2×32312538545472² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384475179 + ... + 1384498517.

Almost surely, 2^{32312538545472} is an apocalyptic number.

32312538545472 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 32312538545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47443479408000).

32312538545472 is an abundant number, since it is smaller than the sum of its proper divisors (62574420270528).

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

32312538545472 is a wasteful number, since it uses less digits than its factorization.

32312538545472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23798 (or 23785 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 32312538545472 in words is "thirty-two trillion, three hundred twelve billion, five hundred thirty-eight million, five hundred forty-five thousand, four hundred seventy-two".