31345464084804 has 135 divisors (see below), whose sum is σ = 83324929789101. Its totient is φ = 10275185806560.

The previous prime is 31345464084773. The next prime is 31345464084827. The reversal of 31345464084804 is 40848046454313.

The square root of 31345464084804 is 5598702.

It is a perfect power (a square), and thus also a powerful number.

31345464084804 is a `hidden beast` number, since 3 + 13 + 4 + 546 + 4 + 0 + 8 + 4 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1019296198404 + 30326167886400 = 1009602^2 + 5506920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6147372247 + ... + 6147377345.

Almost surely, 2^{31345464084804} is an apocalyptic number.

31345464084804 is the 5598702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31345464084804

31345464084804 is an abundant number, since it is smaller than the sum of its proper divisors (51979465704297).

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

31345464084804 is an frugal number, since it uses more digits than its factorization.

31345464084804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 31345464084804 in words is "thirty-one trillion, three hundred forty-five billion, four hundred sixty-four million, eighty-four thousand, eight hundred four".