31948120512 has 672 divisors, whose sum is σ = 120393561600. Its totient is φ = 7857561600.

The previous prime is 31948120511. The next prime is 31948120517. The reversal of 31948120512 is 21502184913.

31948120512 is a `hidden beast` number, since 3 + 19 + 4 + 8 + 120 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31948120511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75886062 + ... + 75886482.

Almost surely, 2^31948120512 is an apocalyptic number.

31948120512 is a gapful number since it is divisible by the number (32) 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 31948120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60196780800).

31948120512 is an abundant number, since it is smaller than the sum of its proper divisors (88445441088).

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

31948120512 is a wasteful number, since it uses less digits than its factorization.

31948120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 31948120512 in words is "thirty-one billion, nine hundred forty-eight million, one hundred twenty thousand, five hundred twelve".