23275785456 has 400 divisors, whose sum is σ = 87650247168. Its totient is φ = 5782233600.

The previous prime is 23275785451. The next prime is 23275785493. The reversal of 23275785456 is 65458757232.

23275785456 is a `hidden beast` number, since 2 + 3 + 27 + 5 + 78 + 545 + 6 = 666.

It is a super-2 number, since 2×23275785456² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (23275785451) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2290146 + ... + 2300286.

Almost surely, 2^23275785456 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 23275785456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43825123584).

23275785456 is an abundant number, since it is smaller than the sum of its proper divisors (64374461712).

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

23275785456 is a wasteful number, since it uses less digits than its factorization.

23275785456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202 (or 10187 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 23275785456 in words is "twenty-three billion, two hundred seventy-five million, seven hundred eighty-five thousand, four hundred fifty-six".