31448023117056 has 3888 divisors, whose sum is σ = 132517646352000. Its totient is φ = 7395255189504.

The previous prime is 31448023117019. The next prime is 31448023117067. The reversal of 31448023117056 is 65071132084413.

31448023117056 is a `hidden beast` number, since 3 + 1 + 4 + 480 + 2 + 3 + 117 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1655159111415 + ... + 1655159111433.

Almost surely, 2^{31448023117056} is an apocalyptic number.

31448023117056 is a gapful number since it is divisible by the number (36) 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 31448023117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66258823176000).

31448023117056 is an abundant number, since it is smaller than the sum of its proper divisors (101069623234944).

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

31448023117056 is an frugal number, since it uses more digits than its factorization.

31448023117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 31448023117056 in words is "thirty-one trillion, four hundred forty-eight billion, twenty-three million, one hundred seventeen thousand, fifty-six".