232205145531201 has 48 divisors (see below), whose sum is σ = 340846096371456. Its totient is φ = 152304189228288.

The previous prime is 232205145531137. The next prime is 232205145531211. The reversal of 232205145531201 is 102135541502232.

232205145531201 is a `hidden beast` number, since 2 + 32 + 2 + 0 + 51 + 4 + 553 + 1 + 20 + 1 = 666.

It is not a de Polignac number, because 232205145531201 - 2⁶ = 232205145531137 is a prime.

It is a super-2 number, since 2×232205145531201² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232205145531211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526134315 + ... + 526575471.

It is an arithmetic number, because the mean of its divisors is an integer number (7100960341072).

Almost surely, 2^{232205145531201} is an apocalyptic number.

It is an amenable number.

232205145531201 is a deficient number, since it is larger than the sum of its proper divisors (108640950840255).

232205145531201 is a wasteful number, since it uses less digits than its factorization.

232205145531201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443222 (or 443219 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 232205145531201 in words is "two hundred thirty-two trillion, two hundred five billion, one hundred forty-five million, five hundred thirty-one thousand, two hundred one".