23205553244352 has 224 divisors, whose sum is σ = 68306943944640. Its totient is φ = 7725337804800.

The previous prime is 23205553244339. The next prime is 23205553244417. The reversal of 23205553244352 is 25344235550232.

23205553244352 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 5 + 5 + 53 + 244 + 352 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23205553244298 and 23205553244307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8284737352 + ... + 8284740152.

Almost surely, 2^{23205553244352} 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 23205553244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34153471972320).

23205553244352 is an abundant number, since it is smaller than the sum of its proper divisors (45101390700288).

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

23205553244352 is a wasteful number, since it uses less digits than its factorization.

23205553244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

Adding to 23205553244352 its reverse (25344235550232), we get a palindrome (48549788794584).

The spelling of 23205553244352 in words is "twenty-three trillion, two hundred five billion, five hundred fifty-three million, two hundred forty-four thousand, three hundred fifty-two".