23628948406272 has 768 divisors, whose sum is σ = 78642125827200. Its totient is φ = 6761223290880.

The previous prime is 23628948406249. The next prime is 23628948406361. The reversal of 23628948406272 is 27260484982632.

23628948406272 is a `hidden beast` number, since 2 + 3 + 6 + 2 + 89 + 484 + 0 + 6 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32235945618 + ... + 32235946350.

Almost surely, 2^{23628948406272} is an apocalyptic number.

23628948406272 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 23628948406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39321062913600).

23628948406272 is an abundant number, since it is smaller than the sum of its proper divisors (55013177420928).

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

23628948406272 is a wasteful number, since it uses less digits than its factorization.

23628948406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 23628948406272 in words is "twenty-three trillion, six hundred twenty-eight billion, nine hundred forty-eight million, four hundred six thousand, two hundred seventy-two".