23648531040 has 768 divisors, whose sum is σ = 90226483200. Its totient is φ = 5772902400.

The previous prime is 23648530987. The next prime is 23648531041. The reversal of 23648531040 is 4013584632.

23648531040 is a `hidden beast` number, since 2 + 3 + 648 + 5 + 3 + 1 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23648530986 and 23648531004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23648531041) 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, 323952444 + ... + 323952516.

It is an arithmetic number, because the mean of its divisors is an integer number (117482400).

Almost surely, 2^23648531040 is an apocalyptic number.

23648531040 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 23648531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45113241600).

23648531040 is an abundant number, since it is smaller than the sum of its proper divisors (66577952160).

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

23648531040 is a wasteful number, since it uses less digits than its factorization.

23648531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

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

The spelling of 23648531040 in words is "twenty-three billion, six hundred forty-eight million, five hundred thirty-one thousand, forty".