8531364445056 has 640 divisors, whose sum is σ = 26895982608000. Its totient is φ = 2680055562240.

The previous prime is 8531364444991. The next prime is 8531364445073. The reversal of 8531364445056 is 6505444631358.

8531364445056 is a `hidden beast` number, since 8 + 5 + 3 + 136 + 4 + 4 + 450 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8531364444993 and 8531364445011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8040870766 + ... + 8040871826.

It is an arithmetic number, because the mean of its divisors is an integer number (42024972825).

Almost surely, 2^{8531364445056} 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 8531364445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447991304000).

8531364445056 is an abundant number, since it is smaller than the sum of its proper divisors (18364618162944).

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

8531364445056 is a wasteful number, since it uses less digits than its factorization.

8531364445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 8531364445056 in words is "eight trillion, five hundred thirty-one billion, three hundred sixty-four million, four hundred forty-five thousand, fifty-six".