23648625000 has 1344 divisors, whose sum is σ = 112217313600. Its totient is φ = 4536000000.

The previous prime is 23648624981. The next prime is 23648625017. The reversal of 23648625000 is 52684632.

23648625000 is a `hidden beast` number, since 2 + 3 + 648 + 6 + 2 + 5 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1819124994 + ... + 1819125006.

It is an arithmetic number, because the mean of its divisors is an integer number (83495025).

Almost surely, 2^23648625000 is an apocalyptic number.

23648625000 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 23648625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56108656800).

23648625000 is an abundant number, since it is smaller than the sum of its proper divisors (88568688600).

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

23648625000 is a wasteful number, since it uses less digits than its factorization.

23648625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23648625000 in words is "twenty-three billion, six hundred forty-eight million, six hundred twenty-five thousand".