23352649261056 has 252 divisors, whose sum is σ = 67981660243926. Its totient is φ = 7724376391680.

The previous prime is 23352649261049. The next prime is 23352649261057. The reversal of 23352649261056 is 65016294625332.

23352649261056 is a `hidden beast` number, since 2 + 3 + 3 + 526 + 4 + 9 + 2 + 6 + 105 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17643225747456 + 5709423513600 = 4200384^2 + 2389440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23352649260993 and 23352649261011.

It is not an unprimeable number, because it can be changed into a prime (23352649261057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1265236980 + ... + 1265255436.

Almost surely, 2^{23352649261056} 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 23352649261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33990830121963).

23352649261056 is an abundant number, since it is smaller than the sum of its proper divisors (44629010982870).

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

23352649261056 is an equidigital number, since it uses as much as digits as its factorization.

23352649261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18751 (or 18593 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 23352649261056 in words is "twenty-three trillion, three hundred fifty-two billion, six hundred forty-nine million, two hundred sixty-one thousand, fifty-six".