23745663648 has 768 divisors, whose sum is σ = 88519495680. Its totient is φ = 6038323200.

The previous prime is 23745663647. The next prime is 23745663661. The reversal of 23745663648 is 84636654732.

23745663648 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 566 + 36 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23745663594 and 23745663603.

It is not an unprimeable number, because it can be changed into a prime (23745663647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181264543 + ... + 181264673.

It is an arithmetic number, because the mean of its divisors is an integer number (115259760).

Almost surely, 2^23745663648 is an apocalyptic number.

23745663648 is a gapful number since it is divisible by the number (28) 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 23745663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259747840).

23745663648 is an abundant number, since it is smaller than the sum of its proper divisors (64773832032).

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

23745663648 is a wasteful number, since it uses less digits than its factorization.

23745663648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 23745663648 in words is "twenty-three billion, seven hundred forty-five million, six hundred sixty-three thousand, six hundred forty-eight".