220344130605717 has 48 divisors (see below), whose sum is σ = 330563631390720. Its totient is φ = 141350523896736.

The previous prime is 220344130605701. The next prime is 220344130605733. The reversal of 220344130605717 is 717506031443022.

It is a happy number.

220344130605717 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 4 + 4 + 1 + 30 + 605 + 7 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (220344130605701) and next prime (220344130605733).

It is not a de Polignac number, because 220344130605717 - 2⁴ = 220344130605701 is a prime.

It is a super-2 number, since 2×220344130605717² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220344130605737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12135853 + ... + 24248034.

It is an arithmetic number, because the mean of its divisors is an integer number (6886742320640).

Almost surely, 2^{220344130605717} is an apocalyptic number.

It is an amenable number.

220344130605717 is a deficient number, since it is larger than the sum of its proper divisors (110219500785003).

220344130605717 is a wasteful number, since it uses less digits than its factorization.

220344130605717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36384182 (or 36384179 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 220344130605717 in words is "two hundred twenty trillion, three hundred forty-four billion, one hundred thirty million, six hundred five thousand, seven hundred seventeen".