23211100013328 has 240 divisors, whose sum is σ = 67891446919296. Its totient is φ = 7676660044800.

The previous prime is 23211100013317. The next prime is 23211100013357. The reversal of 23211100013328 is 82331000111232.

23211100013328 is a `hidden beast` number, since 2 + 321 + 1 + 1 + 0 + 0 + 0 + 1 + 332 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 503111350 + ... + 503157482.

Almost surely, 2^{23211100013328} 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 23211100013328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33945723459648).

23211100013328 is an abundant number, since it is smaller than the sum of its proper divisors (44680346905968).

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

23211100013328 is a wasteful number, since it uses less digits than its factorization.

23211100013328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47164 (or 47146 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 23211100013328 in words is "twenty-three trillion, two hundred eleven billion, one hundred million, thirteen thousand, three hundred twenty-eight".