31413819924864 has 640 divisors, whose sum is σ = 102748971679200. Its totient is φ = 9467607711744.

The previous prime is 31413819924853. The next prime is 31413819924871. The reversal of 31413819924864 is 46842991831413.

31413819924864 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 381 + 9 + 9 + 248 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4707597432 + ... + 4707604104.

Almost surely, 2^{31413819924864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31413819924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51374485839600).

31413819924864 is an abundant number, since it is smaller than the sum of its proper divisors (71335151754336).

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

31413819924864 is a wasteful number, since it uses less digits than its factorization.

31413819924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 7403 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 31413819924864 in words is "thirty-one trillion, four hundred thirteen billion, eight hundred nineteen million, nine hundred twenty-four thousand, eight hundred sixty-four".