23292112923648 has 2112 divisors, whose sum is σ = 81567021888000. Its totient is φ = 6531421962240.

The previous prime is 23292112923647. The next prime is 23292112923683. The reversal of 23292112923648 is 84632921129232.

23292112923648 is a `hidden beast` number, since 2 + 3 + 292 + 1 + 1 + 292 + 3 + 64 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23292112923594 and 23292112923603.

It is not an unprimeable number, because it can be changed into a prime (23292112923647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 541677044715 + ... + 541677044757.

It is an arithmetic number, because the mean of its divisors is an integer number (38620749000).

Almost surely, 2^{23292112923648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23292112923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40783510944000).

23292112923648 is an abundant number, since it is smaller than the sum of its proper divisors (58274908964352).

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

23292112923648 is a wasteful number, since it uses less digits than its factorization.

23292112923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 164 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 23292112923648 in words is "twenty-three trillion, two hundred ninety-two billion, one hundred twelve million, nine hundred twenty-three thousand, six hundred forty-eight".