31201746912 has 240 divisors, whose sum is σ = 106653697920. Its totient is φ = 8763386112.

The previous prime is 31201746907. The next prime is 31201746959. The reversal of 31201746912 is 21964710213.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1055923 + ... + 1085069.

It is an arithmetic number, because the mean of its divisors is an integer number (444390408).

Almost surely, 2^31201746912 is an apocalyptic number.

31201746912 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 31201746912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53326848960).

31201746912 is an abundant number, since it is smaller than the sum of its proper divisors (75451951008).

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

31201746912 is a wasteful number, since it uses less digits than its factorization.

31201746912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235 (or 29218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 31201746912 in words is "thirty-one billion, two hundred one million, seven hundred forty-six thousand, nine hundred twelve".