31172041655136 has 144 divisors (see below), whose sum is σ = 88990117201440. Its totient is φ = 10350298245120.

The previous prime is 31172041655129. The next prime is 31172041655171. The reversal of 31172041655136 is 63155614027113.

31172041655136 is a `hidden beast` number, since 3 + 1 + 1 + 7 + 20 + 41 + 6 + 551 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 31172041655091 and 31172041655100.

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, 505164061 + ... + 505225763.

It is an arithmetic number, because the mean of its divisors is an integer number (617986925010).

Almost surely, 2^{31172041655136} is an apocalyptic number.

31172041655136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31172041655136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44495058600720).

31172041655136 is an abundant number, since it is smaller than the sum of its proper divisors (57818075546304).

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

31172041655136 is a wasteful number, since it uses less digits than its factorization.

31172041655136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68509 (or 68498 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 31172041655136 in words is "thirty-one trillion, one hundred seventy-two billion, forty-one million, six hundred fifty-five thousand, one hundred thirty-six".