23874048000 has 832 divisors, whose sum is σ = 96908048640. Its totient is φ = 5750784000.

The previous prime is 23874047893. The next prime is 23874048019. The reversal of 23874048000 is 84047832.

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 63 ways as a sum of consecutive naturals, for example, 152063922 + ... + 152064078.

It is an arithmetic number, because the mean of its divisors is an integer number (116476020).

Almost surely, 2^23874048000 is an apocalyptic number.

23874048000 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 23874048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48454024320).

23874048000 is an abundant number, since it is smaller than the sum of its proper divisors (73034000640).

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

23874048000 is a wasteful number, since it uses less digits than its factorization.

23874048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 23874048000 in words is "twenty-three billion, eight hundred seventy-four million, forty-eight thousand".