23648042754072 has 320 divisors, whose sum is σ = 72694967304960. Its totient is φ = 7122770899200.

The previous prime is 23648042754043. The next prime is 23648042754073. The reversal of 23648042754072 is 27045724084632.

23648042754072 is a `hidden beast` number, since 2 + 3 + 6 + 4 + 8 + 0 + 4 + 27 + 540 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23648042754073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3435713943 + ... + 3435720825.

It is an arithmetic number, because the mean of its divisors is an integer number (227171772828).

Almost surely, 2^{23648042754072} is an apocalyptic number.

23648042754072 is a gapful number since it is divisible by the number (22) 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 23648042754072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36347483652480).

23648042754072 is an abundant number, since it is smaller than the sum of its proper divisors (49046924550888).

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

23648042754072 is a wasteful number, since it uses less digits than its factorization.

23648042754072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 23648042754072 in words is "twenty-three trillion, six hundred forty-eight billion, forty-two million, seven hundred fifty-four thousand, seventy-two".