31353454106064 has 90 divisors (see below), whose sum is σ = 92607406351746. Its totient is φ = 9901090753920.

The previous prime is 31353454106063. The next prime is 31353454106069. The reversal of 31353454106064 is 46060145435313.

31353454106064 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 34 + 5 + 4 + 1 + 0 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31104133643664 + 249320462400 = 5577108^2 + 499320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31353454106063) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 301516327 + ... + 301620294.

Almost surely, 2^{31353454106064} is an apocalyptic number.

It is an amenable number.

31353454106064 is an abundant number, since it is smaller than the sum of its proper divisors (61253952245682).

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

31353454106064 is a wasteful number, since it uses less digits than its factorization.

31353454106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603136673 (or 603136645 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 31353454106064 in words is "thirty-one trillion, three hundred fifty-three billion, four hundred fifty-four million, one hundred six thousand, sixty-four".