23265706464 has 1152 divisors, whose sum is σ = 95543884800. Its totient is φ = 5486745600.

The previous prime is 23265706459. The next prime is 23265706483. The reversal of 23265706464 is 46460756232.

23265706464 is a `hidden beast` number, since 2 + 32 + 6 + 570 + 6 + 46 + 4 = 666.

It is a super-2 number, since 2×23265706464² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381404994 + ... + 381405054.

It is an arithmetic number, because the mean of its divisors is an integer number (82937400).

Almost surely, 2^23265706464 is an apocalyptic number.

23265706464 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 23265706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47771942400).

23265706464 is an abundant number, since it is smaller than the sum of its proper divisors (72278178336).

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

23265706464 is a wasteful number, since it uses less digits than its factorization.

23265706464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 23265706464 in words is "twenty-three billion, two hundred sixty-five million, seven hundred six thousand, four hundred sixty-four".