31134063227904 has 1056 divisors, whose sum is σ = 112480073072640. Its totient is φ = 8075825971200.

The previous prime is 31134063227767. The next prime is 31134063227963. The reversal of 31134063227904 is 40972236043113.

31134063227904 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 4 + 0 + 632 + 2 + 7 + 9 + 0 + 4 = 666.

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 31134063227904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20604938509 + ... + 20604940019.

Almost surely, 2^{31134063227904} 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 31134063227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56240036536320).

31134063227904 is an abundant number, since it is smaller than the sum of its proper divisors (81346009844736).

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

31134063227904 is a wasteful number, since it uses less digits than its factorization.

31134063227904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 31134063227904 in words is "thirty-one trillion, one hundred thirty-four billion, sixty-three million, two hundred twenty-seven thousand, nine hundred four".