31545352450404 has 576 divisors, whose sum is σ = 94831928755200. Its totient is φ = 9089037070848.

The previous prime is 31545352450333. The next prime is 31545352450411. The reversal of 31545352450404 is 40405425354513.

31545352450404 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 535 + 24 + 50 + 40 + 4 = 666.

It is a super-2 number, since 2×31545352450404² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31545352450404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7434679107 + ... + 7434683349.

It is an arithmetic number, because the mean of its divisors is an integer number (164638765200).

Almost surely, 2^{31545352450404} 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 31545352450404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47415964377600).

31545352450404 is an abundant number, since it is smaller than the sum of its proper divisors (63286576304796).

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

31545352450404 is a wasteful number, since it uses less digits than its factorization.

31545352450404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 31545352450404 in words is "thirty-one trillion, five hundred forty-five billion, three hundred fifty-two million, four hundred fifty thousand, four hundred four".