31015494144 has 240 divisors, whose sum is σ = 95183070840. Its totient is φ = 9688842240.

The previous prime is 31015494109. The next prime is 31015494173. The reversal of 31015494144 is 44149451013.

31015494144 is a `hidden beast` number, since 3 + 10 + 15 + 494 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24111878400 + 6903615744 = 155280^2 + 83088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31015494099 and 31015494108.

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, 22011712 + ... + 22013120.

Almost surely, 2^31015494144 is an apocalyptic number.

31015494144 is a gapful number since it is divisible by the number (34) 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 31015494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47591535420).

31015494144 is an abundant number, since it is smaller than the sum of its proper divisors (64167576696).

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

31015494144 is a wasteful number, since it uses less digits than its factorization.

31015494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 31015494144 in words is "thirty-one billion, fifteen million, four hundred ninety-four thousand, one hundred forty-four".