23466868992000 has 3840 divisors, whose sum is σ = 107647200460800. Its totient is φ = 4966288588800.

The previous prime is 23466868991977. The next prime is 23466868992011. The reversal of 23466868992000 is 29986866432.

23466868992000 is a `hidden beast` number, since 2 + 3 + 466 + 8 + 6 + 89 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 184778495937 + ... + 184778496063.

It is an arithmetic number, because the mean of its divisors is an integer number (28033125120).

Almost surely, 2^{23466868992000} is an apocalyptic number.

23466868992000 is a gapful number since it is divisible by the number (20) 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 23466868992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53823600230400).

23466868992000 is an abundant number, since it is smaller than the sum of its proper divisors (84180331468800).

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

23466868992000 is a wasteful number, since it uses less digits than its factorization.

23466868992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 23466868992000 in words is "twenty-three trillion, four hundred sixty-six billion, eight hundred sixty-eight million, nine hundred ninety-two thousand".