23248625400 has 2304 divisors, whose sum is σ = 119692339200. Its totient is φ = 4014489600.

The previous prime is 23248625371. The next prime is 23248625471. The reversal of 23248625400 is 452684232.

23248625400 is a `hidden beast` number, since 2 + 3 + 24 + 8 + 625 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1010809789 + ... + 1010809811.

It is an arithmetic number, because the mean of its divisors is an integer number (51949800).

Almost surely, 2^23248625400 is an apocalyptic number.

23248625400 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 23248625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59846169600).

23248625400 is an abundant number, since it is smaller than the sum of its proper divisors (96443713800).

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

23248625400 is a wasteful number, since it uses less digits than its factorization.

23248625400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23248625400 in words is "twenty-three billion, two hundred forty-eight million, six hundred twenty-five thousand, four hundred".