22564200532041 has 27 divisors (see below), whose sum is σ = 37914164426541. Its totient is φ = 12893771873304.

The previous prime is 22564200531991. The next prime is 22564200532057. The reversal of 22564200532041 is 14023500246522.

The square root of 22564200532041 is 4750179.

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

22564200532041 is a `hidden beast` number, since 2 + 2 + 5 + 64 + 20 + 0 + 532 + 0 + 41 = 666.

It is not a de Polignac number, because 22564200532041 - 2¹⁵ = 22564200499273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22564200531987 and 22564200532005.

It is not an unprimeable number, because it can be changed into a prime (22564200132041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99640660 + ... + 99866858.

Almost surely, 2^{22564200532041} is an apocalyptic number.

22564200532041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22564200532041 is the 4750179-th square number.

22564200532041 is the 2375090-th centered octagonal number.

It is an amenable number.

22564200532041 is a deficient number, since it is larger than the sum of its proper divisors (15349963894500).

22564200532041 is an frugal number, since it uses more digits than its factorization.

22564200532041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452418 (or 226209 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 22564200532041 by its sum of digits (36), we get a square (812311219153476 = 28501074²).

Adding to 22564200532041 its reverse (14023500246522), we get a palindrome (36587700778563).

The spelling of 22564200532041 in words is "twenty-two trillion, five hundred sixty-four billion, two hundred million, five hundred thirty-two thousand, forty-one".