23100635041344 has 945 divisors, whose sum is σ = 79721516592081. Its totient is φ = 6395086494720.

The previous prime is 23100635041339. The next prime is 23100635041439. The reversal of 23100635041344 is 44314053600132.

The square root of 23100635041344 is 4806312.

It is a perfect power (a square), and thus also a powerful number.

23100635041344 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 0 + 635 + 0 + 4 + 13 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 751189690944 + 22349445350400 = 866712^2 + 4727520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23100635041299 and 23100635041308.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 344785597599 + ... + 344785597665.

Almost surely, 2^{23100635041344} is an apocalyptic number.

23100635041344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23100635041344 is the 4806312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23100635041344

23100635041344 is an abundant number, since it is smaller than the sum of its proper divisors (56620881550737).

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

23100635041344 is an frugal number, since it uses more digits than its factorization.

23100635041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 23100635041344 by its sum of digits (36), we get a square (831622861488384 = 28837872²).

23100635041344 divided by its sum of digits (36) gives a square (641684306704 = 801052²).

Adding to 23100635041344 its reverse (44314053600132), we get a palindrome (67414688641476).

The spelling of 23100635041344 in words is "twenty-three trillion, one hundred billion, six hundred thirty-five million, forty-one thousand, three hundred forty-four".