23456645600 has 72 divisors (see below), whose sum is σ = 57302269920. Its totient is φ = 9376312320.

The previous prime is 23456645591. The next prime is 23456645603. The reversal of 23456645600 is 654665432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23456645603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278089 + ... + 1296311.

It is an arithmetic number, because the mean of its divisors is an integer number (795864860).

Almost surely, 2^23456645600 is an apocalyptic number.

23456645600 is a gapful number since it is divisible by the number (20) 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 23456645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651134960).

23456645600 is an abundant number, since it is smaller than the sum of its proper divisors (33845624320).

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

23456645600 is a wasteful number, since it uses less digits than its factorization.

23456645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19852 (or 19839 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 23456645600 in words is "twenty-three billion, four hundred fifty-six million, six hundred forty-five thousand, six hundred".