23465164800 has 864 divisors, whose sum is σ = 99857608704. Its totient is φ = 4718592000.

The previous prime is 23465164783. The next prime is 23465164829. The reversal of 23465164800 is 846156432.

It is a super-2 number, since 2×23465164800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756940785 + ... + 756940815.

It is an arithmetic number, because the mean of its divisors is an integer number (115575936).

Almost surely, 2^23465164800 is an apocalyptic number.

23465164800 is a gapful number since it is divisible by the number (20) 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 23465164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49928804352).

23465164800 is an abundant number, since it is smaller than the sum of its proper divisors (76392443904).

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

23465164800 is an equidigital number, since it uses as much as digits as its factorization.

23465164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 23465164800 in words is "twenty-three billion, four hundred sixty-five million, one hundred sixty-four thousand, eight hundred".