23119268272128 has 2304 divisors, whose sum is σ = 88604845056000. Its totient is φ = 5992989327360.

The previous prime is 23119268272109. The next prime is 23119268272181. The reversal of 23119268272128 is 82127286291132.

It is a happy number.

23119268272128 is a `hidden beast` number, since 2 + 3 + 1 + 192 + 68 + 272 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89958242176 + ... + 89958242432.

It is an arithmetic number, because the mean of its divisors is an integer number (38456964000).

Almost surely, 2^{23119268272128} is an apocalyptic number.

23119268272128 is a gapful number since it is divisible by the number (28) 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 23119268272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44302422528000).

23119268272128 is an abundant number, since it is smaller than the sum of its proper divisors (65485576783872).

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

23119268272128 is an equidigital number, since it uses as much as digits as its factorization.

23119268272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 317 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 23119268272128 in words is "twenty-three trillion, one hundred nineteen billion, two hundred sixty-eight million, two hundred seventy-two thousand, one hundred twenty-eight".