23066385264 has 480 divisors, whose sum is σ = 77059067904. Its totient is φ = 6373416960.

The previous prime is 23066385253. The next prime is 23066385289. The reversal of 23066385264 is 46258366032.

It is a happy number.

23066385264 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 6 + 385 + 264 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101613919 + ... + 101614145.

Almost surely, 2^23066385264 is an apocalyptic number.

23066385264 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 23066385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38529533952).

23066385264 is an abundant number, since it is smaller than the sum of its proper divisors (53992682640).

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

23066385264 is a wasteful number, since it uses less digits than its factorization.

23066385264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 23066385264 in words is "twenty-three billion, sixty-six million, three hundred eighty-five thousand, two hundred sixty-four".