31384973414160 has 60 divisors (see below), whose sum is σ = 105401202384972. Its totient is φ = 8369326243584.

The previous prime is 31384973414051. The next prime is 31384973414191. The reversal of 31384973414160 is 6141437948313.

31384973414160 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 497 + 3 + 4 + 141 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23209308300816 + 8175665113344 = 4817604^2 + 2859312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 31384973414097 and 31384973414106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21795119707 + ... + 21795121146.

Almost surely, 2^{31384973414160} is an apocalyptic number.

31384973414160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31384973414160 is an abundant number, since it is smaller than the sum of its proper divisors (74016228970812).

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

31384973414160 is a wasteful number, since it uses less digits than its factorization.

31384973414160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43590240872 (or 43590240863 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 31384973414160 in words is "thirty-one trillion, three hundred eighty-four billion, nine hundred seventy-three million, four hundred fourteen thousand, one hundred sixty".