9052431882624 has 960 divisors, whose sum is σ = 31541153490000. Its totient is φ = 2567098220544.

The previous prime is 9052431882583. The next prime is 9052431882629. The reversal of 9052431882624 is 4262881342509.

9052431882624 is a `hidden beast` number, since 9 + 0 + 5 + 2 + 4 + 3 + 1 + 8 + 8 + 2 + 624 = 666.

9052431882624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9052431882629) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1231787302 + ... + 1231794650.

Almost surely, 2^{9052431882624} 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 9052431882624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770576745000).

9052431882624 is an abundant number, since it is smaller than the sum of its proper divisors (22488721607376).

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

9052431882624 is a wasteful number, since it uses less digits than its factorization.

9052431882624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 9052431882624 in words is "nine trillion, fifty-two billion, four hundred thirty-one million, eight hundred eighty-two thousand, six hundred twenty-four".