31985311461390 has 384 divisors, whose sum is σ = 99335810875392. Its totient is φ = 6986623092480.

The previous prime is 31985311461377. The next prime is 31985311461401. The reversal of 31985311461390 is 9316411358913.

31985311461390 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 5 + 3 + 1 + 14 + 613 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5749648749 + ... + 5749654311.

It is an arithmetic number, because the mean of its divisors is an integer number (258687007488).

Almost surely, 2^{31985311461390} is an apocalyptic number.

31985311461390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31985311461390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49667905437696).

31985311461390 is an abundant number, since it is smaller than the sum of its proper divisors (67350499414002).

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

31985311461390 is a wasteful number, since it uses less digits than its factorization.

31985311461390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 31985311461390 in words is "thirty-one trillion, nine hundred eighty-five billion, three hundred eleven million, four hundred sixty-one thousand, three hundred ninety".