188070536241 has 81 divisors (see below), whose sum is σ = 320652004491. Its totient is φ = 105912866304.

The previous prime is 188070536239. The next prime is 188070536249. The reversal of 188070536241 is 142635070881.

The square root of 188070536241 is 433671.

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

188070536241 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 70 + 536 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45567306225 + 142503230016 = 213465^2 + 377496^2 .

It is not a de Polignac number, because 188070536241 - 2¹ = 188070536239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (188070536249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 974458641 + ... + 974458833.

Almost surely, 2^188070536241 is an apocalyptic number.

188070536241 is the 433671-st square number.

188070536241 is the 216836-th centered octagonal number.

It is an amenable number.

188070536241 is a deficient number, since it is larger than the sum of its proper divisors (132581468250).

188070536241 is an equidigital number, since it uses as much as digits as its factorization.

188070536241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 188070536241 in words is "one hundred eighty-eight billion, seventy million, five hundred thirty-six thousand, two hundred forty-one".