23045952384 has 512 divisors, whose sum is σ = 84519321600. Its totient is φ = 6019743744.

The previous prime is 23045952379. The next prime is 23045952421. The reversal of 23045952384 is 48325954032.

23045952384 is a `hidden beast` number, since 2 + 3 + 0 + 45 + 9 + 523 + 84 = 666.

It is a super-2 number, since 2×23045952384² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 39940704 + ... + 39941280.

It is an arithmetic number, because the mean of its divisors is an integer number (165076800).

Almost surely, 2^23045952384 is an apocalyptic number.

23045952384 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 23045952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42259660800).

23045952384 is an abundant number, since it is smaller than the sum of its proper divisors (61473369216).

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

23045952384 is a wasteful number, since it uses less digits than its factorization.

23045952384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 23045952384 in words is "twenty-three billion, forty-five million, nine hundred fifty-two thousand, three hundred eighty-four".