422891390601 has 81 divisors (see below), whose sum is σ = 667246745269. Its totient is φ = 258039436800.

The previous prime is 422891390569. The next prime is 422891390617. The reversal of 422891390601 is 106093198224.

The square root of 422891390601 is 650301.

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

422891390601 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 9 + 1 + 39 + 0 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29792486025 + 393098904576 = 172605^2 + 626976^2 .

It is not a de Polignac number, because 422891390601 - 2⁵ = 422891390569 is a prime.

It is a super-2 number, since 2×422891390601² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422891390681) 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 80 ways as a sum of consecutive naturals, for example, 1359779236 + ... + 1359779546.

Almost surely, 2^422891390601 is an apocalyptic number.

422891390601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

422891390601 is the 650301-st square number.

422891390601 is the 325151-st centered octagonal number.

It is an amenable number.

422891390601 is a deficient number, since it is larger than the sum of its proper divisors (244355354668).

422891390601 is an equidigital number, since it uses as much as digits as its factorization.

422891390601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 422891390601 in words is "four hundred twenty-two billion, eight hundred ninety-one million, three hundred ninety thousand, six hundred one".