220017937952 has 54 divisors (see below), whose sum is σ = 436184994357. Its totient is φ = 109246114176.

The previous prime is 220017937943. The next prime is 220017937961. The reversal of 220017937952 is 259739710022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (220017937943) and next prime (220017937961).

It can be written as a sum of positive squares in 2 ways, for example, as 159676963216 + 60340974736 = 399596^2 + 245644^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331676.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220017937897 and 220017937906.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 750914318 + ... + 750914610.

Almost surely, 2^220017937952 is an apocalyptic number.

It is an amenable number.

220017937952 is a deficient number, since it is larger than the sum of its proper divisors (216167056405).

220017937952 is an frugal number, since it uses more digits than its factorization.

220017937952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 220017937952 in words is "two hundred twenty billion, seventeen million, nine hundred thirty-seven thousand, nine hundred fifty-two".