31064366144 has 84 divisors (see below), whose sum is σ = 72883555020. Its totient is φ = 13094968320.

The previous prime is 31064366071. The next prime is 31064366197. The reversal of 31064366144 is 44166346013.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4690606144 + 26373760000 = 68488^2 + 162400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31064366098 and 31064366107.

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, 110102 + ... + 272490.

Almost surely, 2^31064366144 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 31064366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36441777510).

31064366144 is an abundant number, since it is smaller than the sum of its proper divisors (41819188876).

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

31064366144 is a wasteful number, since it uses less digits than its factorization.

31064366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162476 (or 162459 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 31064366144 in words is "thirty-one billion, sixty-four million, three hundred sixty-six thousand, one hundred forty-four".