23149022400 has 1680 divisors, whose sum is σ = 109757260800. Its totient is φ = 4658135040.

The previous prime is 23149022389. The next prime is 23149022401. The reversal of 23149022400 is 422094132.

23149022400 is a `hidden beast` number, since 231 + 4 + 9 + 0 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (23149022401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 293025561 + ... + 293025639.

Almost surely, 2^23149022400 is an apocalyptic number.

23149022400 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 23149022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54878630400).

23149022400 is an abundant number, since it is smaller than the sum of its proper divisors (86608238400).

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

23149022400 is a wasteful number, since it uses less digits than its factorization.

23149022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 23149022400 in words is "twenty-three billion, one hundred forty-nine million, twenty-two thousand, four hundred".