31611220512768 has 312 divisors, whose sum is σ = 98435515756032. Its totient is φ = 9716489846784.

The previous prime is 31611220512733. The next prime is 31611220512793. The reversal of 31611220512768 is 86721502211613.

31611220512768 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 122 + 0 + 512 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471051505 + ... + 471118607.

It is an arithmetic number, because the mean of its divisors is an integer number (315498447936).

Almost surely, 2^{31611220512768} 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 31611220512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49217757878016).

31611220512768 is an abundant number, since it is smaller than the sum of its proper divisors (66824295243264).

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

31611220512768 is a wasteful number, since it uses less digits than its factorization.

31611220512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68129 (or 68104 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 31611220512768 in words is "thirty-one trillion, six hundred eleven billion, two hundred twenty million, five hundred twelve thousand, seven hundred sixty-eight".