23648136980400 has 1800 divisors, whose sum is σ = 93722515767936. Its totient is φ = 5703362150400.

The previous prime is 23648136980389. The next prime is 23648136980401. The reversal of 23648136980400 is 408963184632.

23648136980400 is a `hidden beast` number, since 2 + 3 + 6 + 481 + 36 + 98 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (23648136980401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 74599801042 + ... + 74599801358.

Almost surely, 2^{23648136980400} is an apocalyptic number.

23648136980400 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 23648136980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46861257883968).

23648136980400 is an abundant number, since it is smaller than the sum of its proper divisors (70074378787536).

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

23648136980400 is a wasteful number, since it uses less digits than its factorization.

23648136980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 23648136980400 in words is "twenty-three trillion, six hundred forty-eight billion, one hundred thirty-six million, nine hundred eighty thousand, four hundred".