31486873743360 has 624 divisors, whose sum is σ = 126134718765120. Its totient is φ = 7116108595200.

The previous prime is 31486873743349. The next prime is 31486873743433. The reversal of 31486873743360 is 6334737868413.

It is a happy number.

31486873743360 is a `hidden beast` number, since 3 + 1 + 486 + 87 + 3 + 7 + 43 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 114694260 + ... + 114968460.

It is an arithmetic number, because the mean of its divisors is an integer number (202138972380).

Almost surely, 2^{31486873743360} is an apocalyptic number.

31486873743360 is a gapful number since it is divisible by the number (30) 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 31486873743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63067359382560).

31486873743360 is an abundant number, since it is smaller than the sum of its proper divisors (94647845021760).

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

31486873743360 is a wasteful number, since it uses less digits than its factorization.

31486873743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274332 (or 274307 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 31486873743360 in words is "thirty-one trillion, four hundred eighty-six billion, eight hundred seventy-three million, seven hundred forty-three thousand, three hundred sixty".