9933346558464 has 640 divisors, whose sum is σ = 32113754112000. Its totient is φ = 2724352081920.

The previous prime is 9933346558453. The next prime is 9933346558477. The reversal of 9933346558464 is 4648556433399.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074198182 + ... + 2074202970.

It is an arithmetic number, because the mean of its divisors is an integer number (50177740800).

Almost surely, 2^{9933346558464} 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 9933346558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056877056000).

9933346558464 is an abundant number, since it is smaller than the sum of its proper divisors (22180407553536).

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

9933346558464 is a wasteful number, since it uses less digits than its factorization.

9933346558464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4959 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 69.

The spelling of 9933346558464 in words is "nine trillion, nine hundred thirty-three billion, three hundred forty-six million, five hundred fifty-eight thousand, four hundred sixty-four".