23813222400 has 1092 divisors, whose sum is σ = 99912835080. Its totient is φ = 5573836800.

The previous prime is 23813222393. The next prime is 23813222497. The reversal of 23813222400 is 422231832.

23813222400 is a `hidden beast` number, since 2 + 38 + 1 + 3 + 222 + 400 = 666.

It is a super-2 number, since 2×23813222400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 821145586 + ... + 821145614.

Almost surely, 2^23813222400 is an apocalyptic number.

23813222400 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 23813222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49956417540).

23813222400 is an abundant number, since it is smaller than the sum of its proper divisors (76099612680).

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

23813222400 is an equidigital number, since it uses as much as digits as its factorization.

23813222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 23813222400 in words is "twenty-three billion, eight hundred thirteen million, two hundred twenty-two thousand, four hundred".