31561485408 has 288 divisors, whose sum is σ = 98075577600. Its totient is φ = 9964601856.

The previous prime is 31561485383. The next prime is 31561485421. The reversal of 31561485408 is 80458416513.

31561485408 is a `hidden beast` number, since 3 + 1 + 5 + 61 + 48 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×31561485408² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19493623 + ... + 19495241.

It is an arithmetic number, because the mean of its divisors is an integer number (340540200).

Almost surely, 2^31561485408 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 31561485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49037788800).

31561485408 is an abundant number, since it is smaller than the sum of its proper divisors (66514092192).

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

31561485408 is a wasteful number, since it uses less digits than its factorization.

31561485408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 31561485408 in words is "thirty-one billion, five hundred sixty-one million, four hundred eighty-five thousand, four hundred eight".