31480559712 has 384 divisors, whose sum is σ = 107484088320. Its totient is φ = 8778792960.

The previous prime is 31480559711. The next prime is 31480559713. The reversal of 31480559712 is 21795508413.

31480559712 is a `hidden beast` number, since 3 + 1 + 4 + 80 + 559 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (31480559711) and next prime (31480559713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31480559711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49889637 + ... + 49890267.

It is an arithmetic number, because the mean of its divisors is an integer number (279906480).

Almost surely, 2^31480559712 is an apocalyptic number.

31480559712 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 31480559712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53742044160).

31480559712 is an abundant number, since it is smaller than the sum of its proper divisors (76003528608).

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

31480559712 is a wasteful number, since it uses less digits than its factorization.

31480559712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 31480559712 in words is "thirty-one billion, four hundred eighty million, five hundred fifty-nine thousand, seven hundred twelve".