215183726641 has 27 divisors (see below), whose sum is σ = 247640286081. Its totient is φ = 186857883264.

The previous prime is 215183726627. The next prime is 215183726701. The reversal of 215183726641 is 146627381512.

The square root of 215183726641 is 463879.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1942958241 + 213240768400 = 44079^2 + 461780^2 .

It is not a de Polignac number, because 215183726641 - 2⁹ = 215183726129 is a prime.

It is a super-2 number, since 2×215183726641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 215183726591 and 215183726600.

It is not an unprimeable number, because it can be changed into a prime (215183724641) 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 26 ways as a sum of consecutive naturals, for example, 102516210 + ... + 102518308.

Almost surely, 2^215183726641 is an apocalyptic number.

215183726641 is the 463879-th square number.

215183726641 is the 231940-th centered octagonal number.

It is an amenable number.

215183726641 is a deficient number, since it is larger than the sum of its proper divisors (32456559440).

215183726641 is an frugal number, since it uses more digits than its factorization.

215183726641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 2129 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The spelling of 215183726641 in words is "two hundred fifteen billion, one hundred eighty-three million, seven hundred twenty-six thousand, six hundred forty-one".