31145745744 has 180 divisors, whose sum is σ = 94486062996. Its totient is φ = 9569083392.

The previous prime is 31145745739. The next prime is 31145745773. The reversal of 31145745744 is 44754754113.

31145745744 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 5 + 74 + 574 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29553735744 + 1592010000 = 171912^2 + 39900^2 .

It is a super-2 number, since 2×31145745744² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31145745744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1915312 + ... + 1931504.

Almost surely, 2^31145745744 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 31145745744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47243031498).

31145745744 is an abundant number, since it is smaller than the sum of its proper divisors (63340317252).

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

31145745744 is a wasteful number, since it uses less digits than its factorization.

31145745744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16282 (or 16254 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 31145745744 in words is "thirty-one billion, one hundred forty-five million, seven hundred forty-five thousand, seven hundred forty-four".