23116316129280 has 1344 divisors, whose sum is σ = 91244730376800. Its totient is φ = 5571607265280.

The previous prime is 23116316129209. The next prime is 23116316129281. The reversal of 23116316129280 is 8292161361132.

23116316129280 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 6 + 3 + 1 + 612 + 9 + 28 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23116316129281) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16176567606 + ... + 16176569034.

Almost surely, 2^{23116316129280} is an apocalyptic number.

23116316129280 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 23116316129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45622365188400).

23116316129280 is an abundant number, since it is smaller than the sum of its proper divisors (68128414247520).

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

23116316129280 is a wasteful number, since it uses less digits than its factorization.

23116316129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 23116316129280 in words is "twenty-three trillion, one hundred sixteen billion, three hundred sixteen million, one hundred twenty-nine thousand, two hundred eighty".