1333432865664 has 640 divisors, whose sum is σ = 4267101358080. Its totient is φ = 413588643840.

The previous prime is 1333432865599. The next prime is 1333432865683. The reversal of 1333432865664 is 4665682343331.

1333432865664 is a `hidden beast` number, since 1 + 3 + 33 + 43 + 2 + 8 + 6 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1333432865664.

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, 6981323809 + ... + 6981323999.

It is an arithmetic number, because the mean of its divisors is an integer number (6667345872).

Almost surely, 2^{1333432865664} 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 1333432865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133550679040).

1333432865664 is an abundant number, since it is smaller than the sum of its proper divisors (2933668492416).

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

1333432865664 is an frugal number, since it uses more digits than its factorization.

1333432865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 376 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 1333432865664 in words is "one trillion, three hundred thirty-three billion, four hundred thirty-two million, eight hundred sixty-five thousand, six hundred sixty-four".