31432842512128 has 144 divisors (see below), whose sum is σ = 64183955996160. Its totient is φ = 15360104448000.

The previous prime is 31432842512117. The next prime is 31432842512147. The reversal of 31432842512128 is 82121524823413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062372151 + ... + 1062401737.

It is an arithmetic number, because the mean of its divisors is an integer number (445721916640).

Almost surely, 2^{31432842512128} 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 31432842512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32091977998080).

31432842512128 is an abundant number, since it is smaller than the sum of its proper divisors (32751113484032).

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

31432842512128 is a wasteful number, since it uses less digits than its factorization.

31432842512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30214 (or 30200 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The spelling of 31432842512128 in words is "thirty-one trillion, four hundred thirty-two billion, eight hundred forty-two million, five hundred twelve thousand, one hundred twenty-eight".