23332385664 has 416 divisors, whose sum is σ = 81310422000. Its totient is φ = 6666395904.

The previous prime is 23332385611. The next prime is 23332385669. The reversal of 23332385664 is 46658323332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23332385664 is a `hidden beast` number, since 23 + 3 + 32 + 38 + 566 + 4 = 666.

Its product of digits (1866240) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332385669) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 3333197949 + ... + 3333197955.

Almost surely, 2^23332385664 is an apocalyptic number.

23332385664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23332385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40655211000).

23332385664 is an abundant number, since it is smaller than the sum of its proper divisors (57978036336).

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

23332385664 is an frugal number, since it uses more digits than its factorization.

23332385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 23332385664 in words is "twenty-three billion, three hundred thirty-two million, three hundred eighty-five thousand, six hundred sixty-four".