11638295217 has 24 divisors (see below), whose sum is σ = 18459002016. Its totient is φ = 7302457152.

The previous prime is 11638295191. The next prime is 11638295243. The reversal of 11638295217 is 71259283611.

11638295217 is a `hidden beast` number, since 1 + 1 + 638 + 2 + 9 + 5 + 2 + 1 + 7 = 666.

11638295217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11638295191) and next prime (11638295243).

It is not a de Polignac number, because 11638295217 - 2¹⁸ = 11638033073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11638295257) 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 23 ways as a sum of consecutive naturals, for example, 1404523 + ... + 1412784.

It is an arithmetic number, because the mean of its divisors is an integer number (769125084).

Almost surely, 2^11638295217 is an apocalyptic number.

11638295217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11638295217 is a deficient number, since it is larger than the sum of its proper divisors (6820706799).

11638295217 is an equidigital number, since it uses as much as digits as its factorization.

11638295217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817339 (or 2817327 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11638295217 in words is "eleven billion, six hundred thirty-eight million, two hundred ninety-five thousand, two hundred seventeen".