42225157161 has 72 divisors (see below), whose sum is σ = 67658190600. Its totient is φ = 25356672000.

The previous prime is 42225157123. The next prime is 42225157171. The reversal of 42225157161 is 16175152224.

42225157161 is a `hidden beast` number, since 4 + 2 + 2 + 25 + 1 + 571 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11715897600 + 30509259561 = 108240^2 + 174669^2 .

It is not a de Polignac number, because 42225157161 - 2¹¹ = 42225155113 is a prime.

It is a super-2 number, since 2×42225157161² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42225157171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91594471 + ... + 91594931.

Almost surely, 2^42225157161 is an apocalyptic number.

It is an amenable number.

42225157161 is a deficient number, since it is larger than the sum of its proper divisors (25433033439).

42225157161 is a wasteful number, since it uses less digits than its factorization.

42225157161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The spelling of 42225157161 in words is "forty-two billion, two hundred twenty-five million, one hundred fifty-seven thousand, one hundred sixty-one".