220157085681 has 81 divisors (see below), whose sum is σ = 352520912289. Its totient is φ = 132339460032.

The previous prime is 220157085653. The next prime is 220157085689. The reversal of 220157085681 is 186580751022.

The square root of 220157085681 is 469209.

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

220157085681 is a `hidden beast` number, since 2 + 2 + 0 + 15 + 70 + 8 + 568 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5713999281 + 214443086400 = 75591^2 + 463080^2 .

It is not a de Polignac number, because 220157085681 - 2¹³ = 220157077489 is a prime.

It is a super-2 number, since 2×220157085681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220157085689) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 969854890 + ... + 969855116.

Almost surely, 2^220157085681 is an apocalyptic number.

220157085681 is the 469209-th square number.

220157085681 is the 234605-th centered octagonal number.

It is an amenable number.

220157085681 is a deficient number, since it is larger than the sum of its proper divisors (132363826608).

220157085681 is an equidigital number, since it uses as much as digits as its factorization.

220157085681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 220157085681 in words is "two hundred twenty billion, one hundred fifty-seven million, eighty-five thousand, six hundred eighty-one".