23949904822272 has 2880 divisors, whose sum is σ = 92333610270720. Its totient is φ = 6096184934400.

The previous prime is 23949904822243. The next prime is 23949904822279. The reversal of 23949904822272 is 27222840994932.

23949904822272 is a `hidden beast` number, since 2 + 3 + 9 + 49 + 90 + 482 + 2 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23949904822279) 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, 405930590179 + ... + 405930590237.

It is an arithmetic number, because the mean of its divisors is an integer number (32060281344).

Almost surely, 2^{23949904822272} is an apocalyptic number.

23949904822272 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 23949904822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46166805135360).

23949904822272 is an abundant number, since it is smaller than the sum of its proper divisors (68383705448448).

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

23949904822272 is a wasteful number, since it uses less digits than its factorization.

23949904822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 23949904822272 in words is "twenty-three trillion, nine hundred forty-nine billion, nine hundred four million, eight hundred twenty-two thousand, two hundred seventy-two".