31364216217 has 12 divisors (see below), whose sum is σ = 45305635284. Its totient is φ = 20908661760.

The previous prime is 31364216207. The next prime is 31364216231. The reversal of 31364216217 is 71261246313.

31364216217 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 4 + 21 + 621 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20660037696 + 10704178521 = 143736^2 + 103461^2 .

It is not a de Polignac number, because 31364216217 - 2⁶ = 31364216153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31364216207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257617 + ... + 359297.

It is an arithmetic number, because the mean of its divisors is an integer number (3775469607).

Almost surely, 2^31364216217 is an apocalyptic number.

It is an amenable number.

31364216217 is a deficient number, since it is larger than the sum of its proper divisors (13941419067).

31364216217 is a wasteful number, since it uses less digits than its factorization.

31364216217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135960 (or 135957 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 31364216217 in words is "thirty-one billion, three hundred sixty-four million, two hundred sixteen thousand, two hundred seventeen".