23186748960 has 768 divisors, whose sum is σ = 89030430720. Its totient is φ = 5690539008.

The previous prime is 23186748947. The next prime is 23186749007. The reversal of 23186748960 is 6984768132.

23186748960 is a `hidden beast` number, since 23 + 1 + 86 + 7 + 489 + 60 = 666.

It is a super-2 number, since 2×23186748960² (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 junction number, because it is equal to n+sod(n) for n = 23186748897 and 23186748906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346070847 + ... + 346070913.

It is an arithmetic number, because the mean of its divisors is an integer number (115925040).

Almost surely, 2^23186748960 is an apocalyptic number.

23186748960 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 23186748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44515215360).

23186748960 is an abundant number, since it is smaller than the sum of its proper divisors (65843681760).

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

23186748960 is an equidigital number, since it uses as much as digits as its factorization.

23186748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 23186748960 in words is "twenty-three billion, one hundred eighty-six million, seven hundred forty-eight thousand, nine hundred sixty".