31006616112 has 120 divisors (see below), whose sum is σ = 91380088800. Its totient is φ = 9795354624.

The previous prime is 31006616093. The next prime is 31006616119. The reversal of 31006616112 is 21161660013.

31006616112 is a `hidden beast` number, since 31 + 0 + 0 + 6 + 616 + 1 + 12 = 666.

It is a super-2 number, since 2×31006616112² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31006616119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318064 + ... + 403952.

It is an arithmetic number, because the mean of its divisors is an integer number (761500740).

Almost surely, 2^31006616112 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 31006616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45690044400).

31006616112 is an abundant number, since it is smaller than the sum of its proper divisors (60373472688).

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

31006616112 is a wasteful number, since it uses less digits than its factorization.

31006616112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86035 (or 86026 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 31006616112 in words is "thirty-one billion, six million, six hundred sixteen thousand, one hundred twelve".