31048096128 has 256 divisors, whose sum is σ = 97763328000. Its totient is φ = 8543324160.

The previous prime is 31048096111. The next prime is 31048096141. The reversal of 31048096128 is 82169084013.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 31048096128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19914613 + ... + 19916171.

It is an arithmetic number, because the mean of its divisors is an integer number (381888000).

Almost surely, 2^31048096128 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 31048096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881664000).

31048096128 is an abundant number, since it is smaller than the sum of its proper divisors (66715231872).

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

31048096128 is a wasteful number, since it uses less digits than its factorization.

31048096128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 31048096128 in words is "thirty-one billion, forty-eight million, ninety-six thousand, one hundred twenty-eight".