31605813511104 has 448 divisors, whose sum is σ = 96978554449920. Its totient is φ = 8898451537920.

The previous prime is 31605813511093. The next prime is 31605813511117. The reversal of 31605813511104 is 40111531850613.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12947894524 + ... + 12947896964.

Almost surely, 2^{31605813511104} 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 31605813511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48489277224960).

31605813511104 is an abundant number, since it is smaller than the sum of its proper divisors (65372740938816).

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

31605813511104 is a wasteful number, since it uses less digits than its factorization.

31605813511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 31605813511104 in words is "thirty-one trillion, six hundred five billion, eight hundred thirteen million, five hundred eleven thousand, one hundred four".