23248900800 has 336 divisors, whose sum is σ = 89739033120. Its totient is φ = 5834833920.

The previous prime is 23248900769. The next prime is 23248900813. The reversal of 23248900800 is 800984232.

It is a super-2 number, since 2×23248900800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 718572 + ... + 750228.

Almost surely, 2^23248900800 is an apocalyptic number.

23248900800 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 23248900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44869516560).

23248900800 is an abundant number, since it is smaller than the sum of its proper divisors (66490132320).

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

23248900800 is a wasteful number, since it uses less digits than its factorization.

23248900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31705 (or 31684 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23248900800 in words is "twenty-three billion, two hundred forty-eight million, nine hundred thousand, eight hundred".