23964100128 has 288 divisors, whose sum is σ = 73837370880. Its totient is φ = 7636654080.

The previous prime is 23964100103. The next prime is 23964100183. The reversal of 23964100128 is 82100146932.

23964100128 is a `hidden beast` number, since 2 + 3 + 9 + 641 + 0 + 0 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 23964100092 and 23964100101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21453426 + ... + 21454542.

It is an arithmetic number, because the mean of its divisors is an integer number (256379760).

Almost surely, 2^23964100128 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 23964100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36918685440).

23964100128 is an abundant number, since it is smaller than the sum of its proper divisors (49873270752).

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

23964100128 is a wasteful number, since it uses less digits than its factorization.

23964100128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 23964100128 in words is "twenty-three billion, nine hundred sixty-four million, one hundred thousand, one hundred twenty-eight".