23645622889152 has 336 divisors, whose sum is σ = 76607744627232. Its totient is φ = 6909978378240.

The previous prime is 23645622889043. The next prime is 23645622889153. The reversal of 23645622889152 is 25198822654632.

23645622889152 is a `hidden beast` number, since 2 + 3 + 6 + 456 + 2 + 28 + 8 + 9 + 152 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23645622889152.

It is not an unprimeable number, because it can be changed into a prime (23645622889153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26044518 + ... + 26937114.

It is an arithmetic number, because the mean of its divisors is an integer number (227999239962).

Almost surely, 2^{23645622889152} is an apocalyptic number.

23645622889152 is a gapful number since it is divisible by the number (22) 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 23645622889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38303872313616).

23645622889152 is an abundant number, since it is smaller than the sum of its proper divisors (52962121738080).

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

23645622889152 is a wasteful number, since it uses less digits than its factorization.

23645622889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892776 (or 892763 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 23645622889152 in words is "twenty-three trillion, six hundred forty-five billion, six hundred twenty-two million, eight hundred eighty-nine thousand, one hundred fifty-two".