23288000256 has 648 divisors, whose sum is σ = 79088156784. Its totient is φ = 6808043520.

The previous prime is 23288000251. The next prime is 23288000261. The reversal of 23288000256 is 65200088232.

23288000256 is a `hidden beast` number, since 2 + 328 + 80 + 0 + 0 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (23288000251) and next prime (23288000261).

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23288000256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23288000251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 381770466 + ... + 381770526.

Almost surely, 2^23288000256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23288000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39544078392).

23288000256 is an abundant number, since it is smaller than the sum of its proper divisors (55800156528).

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

23288000256 is an equidigital number, since it uses as much as digits as its factorization.

23288000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 23288000256 its reverse (65200088232), we get a palindrome (88488088488).

The spelling of 23288000256 in words is "twenty-three billion, two hundred eighty-eight million, two hundred fifty-six", and thus it is an aban number.