23111612404128 has 144 divisors (see below), whose sum is σ = 65844359433216. Its totient is φ = 7689728494080.

The previous prime is 23111612404123. The next prime is 23111612404141. The reversal of 23111612404128 is 82140421611132.

23111612404128 is a `hidden beast` number, since 2 + 3 + 1 + 11 + 612 + 4 + 0 + 4 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23111612404092 and 23111612404101.

It is not an unprimeable number, because it can be changed into a prime (23111612404121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717936513 + ... + 717968703.

It is an arithmetic number, because the mean of its divisors is an integer number (457252496064).

Almost surely, 2^{23111612404128} 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 23111612404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32922179716608).

23111612404128 is an abundant number, since it is smaller than the sum of its proper divisors (42732747029088).

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

23111612404128 is a wasteful number, since it uses less digits than its factorization.

23111612404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36707 (or 36696 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 23111612404128 in words is "twenty-three trillion, one hundred eleven billion, six hundred twelve million, four hundred four thousand, one hundred twenty-eight".