31945298112 has 336 divisors, whose sum is σ = 113417624320. Its totient is φ = 8371206144.

The previous prime is 31945298093. The next prime is 31945298131. The reversal of 31945298112 is 21189254913.

31945298112 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 529 + 8 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (31945298093) and next prime (31945298131).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8541939 + ... + 8545677.

Almost surely, 2^31945298112 is an apocalyptic number.

31945298112 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 31945298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56708812160).

31945298112 is an abundant number, since it is smaller than the sum of its proper divisors (81472326208).

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

31945298112 is a wasteful number, since it uses less digits than its factorization.

31945298112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3927 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 31945298112 in words is "thirty-one billion, nine hundred forty-five million, two hundred ninety-eight thousand, one hundred twelve".