31009992048 has 280 divisors, whose sum is σ = 103681980000. Its totient is φ = 8797082112.

The previous prime is 31009992047. The next prime is 31009992049. The reversal of 31009992048 is 84029990013.

It is an interprime number because it is at equal distance from previous prime (31009992047) and next prime (31009992049).

It is a junction number, because it is equal to n+sod(n) for n = 31009991994 and 31009992012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31009992047) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 12164278 + ... + 12166826.

Almost surely, 2^31009992048 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 31009992048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840990000).

31009992048 is an abundant number, since it is smaller than the sum of its proper divisors (72671987952).

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

31009992048 is a wasteful number, since it uses less digits than its factorization.

31009992048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 31009992048 in words is "thirty-one billion, nine million, nine hundred ninety-two thousand, forty-eight".