31408716505104 has 135 divisors (see below), whose sum is σ = 88707013056727. Its totient is φ = 10374410339328.

The previous prime is 31408716505069. The next prime is 31408716505141. The reversal of 31408716505104 is 40150561780413.

The square root of 31408716505104 is 5604348.

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

31408716505104 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 8 + 71 + 65 + 0 + 510 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4810354335504 + 26598362169600 = 2193252^2 + 5157360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31408716505104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7599493822 + ... + 7599497954.

Almost surely, 2^{31408716505104} is an apocalyptic number.

31408716505104 is the 5604348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31408716505104

31408716505104 is an abundant number, since it is smaller than the sum of its proper divisors (57298296551623).

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

31408716505104 is an frugal number, since it uses more digits than its factorization.

31408716505104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 31408716505104 in words is "thirty-one trillion, four hundred eight billion, seven hundred sixteen million, five hundred five thousand, one hundred four".