31414513104 has 120 divisors (see below), whose sum is σ = 94731436800. Its totient is φ = 9660738816.

The previous prime is 31414513099. The next prime is 31414513147. The reversal of 31414513104 is 40131541413.

31414513104 is a `hidden beast` number, since 3 + 1 + 41 + 4 + 513 + 104 = 666.

It is a super-2 number, since 2×31414513104² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4757197 + ... + 4763795.

It is an arithmetic number, because the mean of its divisors is an integer number (789428640).

Almost surely, 2^31414513104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31414513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47365718400).

31414513104 is an abundant number, since it is smaller than the sum of its proper divisors (63316923696).

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

31414513104 is a wasteful number, since it uses less digits than its factorization.

31414513104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 31414513104 in words is "thirty-one billion, four hundred fourteen million, five hundred thirteen thousand, one hundred four".