23345992800 has 576 divisors, whose sum is σ = 92289093120. Its totient is φ = 5660928000.

The previous prime is 23345992783. The next prime is 23345992829. The reversal of 23345992800 is 829954332.

It is a happy number.

23345992800 is a `hidden beast` number, since 2 + 3 + 34 + 599 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19936215 + ... + 19937385.

It is an arithmetic number, because the mean of its divisors is an integer number (160224120).

Almost surely, 2^23345992800 is an apocalyptic number.

23345992800 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 23345992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46144546560).

23345992800 is an abundant number, since it is smaller than the sum of its proper divisors (68943100320).

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

23345992800 is a wasteful number, since it uses less digits than its factorization.

23345992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 23345992800 in words is "twenty-three billion, three hundred forty-five million, nine hundred ninety-two thousand, eight hundred".