23288894277264 has 240 divisors, whose sum is σ = 81274134015360. Its totient is φ = 6047943229440.

The previous prime is 23288894277239. The next prime is 23288894277287. The reversal of 23288894277264 is 46277249888232.

It is a happy number.

23288894277264 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 8 + 8 + 94 + 277 + 264 = 666.

It is a hoax number, since the sum of its digits (72) 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23288894277192 and 23288894277201.

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, 60537232 + ... + 60920720.

It is an arithmetic number, because the mean of its divisors is an integer number (338642225064).

Almost surely, 2^{23288894277264} is an apocalyptic number.

23288894277264 is a gapful number since it is divisible by the number (24) 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 23288894277264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40637067007680).

23288894277264 is an abundant number, since it is smaller than the sum of its proper divisors (57985239738096).

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

23288894277264 is a wasteful number, since it uses less digits than its factorization.

23288894277264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388998 (or 388989 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 23288894277264 in words is "twenty-three trillion, two hundred eighty-eight billion, eight hundred ninety-four million, two hundred seventy-seven thousand, two hundred sixty-four".