23177922768 has 1440 divisors, whose sum is σ = 99336499200. Its totient is φ = 5094835200.

The previous prime is 23177922739. The next prime is 23177922809. The reversal of 23177922768 is 86722977132.

It is a super-2 number, since 2×23177922768² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 747674913 + ... + 747674943.

It is an arithmetic number, because the mean of its divisors is an integer number (68983680).

Almost surely, 2^23177922768 is an apocalyptic number.

23177922768 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 23177922768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49668249600).

23177922768 is an abundant number, since it is smaller than the sum of its proper divisors (76158576432).

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

23177922768 is a wasteful number, since it uses less digits than its factorization.

23177922768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 23177922768 in words is "twenty-three billion, one hundred seventy-seven million, nine hundred twenty-two thousand, seven hundred sixty-eight".