23003150745600 has 459 divisors, whose sum is σ = 82467796117863. Its totient is φ = 6129262264320.

The previous prime is 23003150745563. The next prime is 23003150745703. The reversal of 23003150745600 is 654705130032.

The square root of 23003150745600 is 4796160.

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

23003150745600 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 3 + 1 + 5 + 0 + 7 + 45 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1228160434176 + 21774990311424 = 1108224^2 + 4666368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18417253776 + ... + 18417255024.

Almost surely, 2^{23003150745600} is an apocalyptic number.

23003150745600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23003150745600 is the 4796160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23003150745600

23003150745600 is an abundant number, since it is smaller than the sum of its proper divisors (59464645372263).

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

23003150745600 is an frugal number, since it uses more digits than its factorization.

23003150745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Multiplying 23003150745600 by its sum of digits (36), we get a square (828113426841600 = 28776960²).

23003150745600 divided by its sum of digits (36) gives a square (638976409600 = 799360²).

Adding to 23003150745600 its reverse (654705130032), we get a palindrome (23657855875632).

The spelling of 23003150745600 in words is "twenty-three trillion, three billion, one hundred fifty million, seven hundred forty-five thousand, six hundred".