422856658224 has 1280 divisors, whose sum is σ = 1746248232960. Its totient is φ = 94277468160.

The previous prime is 422856658163. The next prime is 422856658243.

422856658224 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 56 + 6 + 582 + 2 + 4 = 666.

422856658224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 713080072 + ... + 713080664.

It is an arithmetic number, because the mean of its divisors is an integer number (1364256432).

Almost surely, 2^422856658224 is an apocalyptic number.

422856658224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422856658224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873124116480).

422856658224 is an abundant number, since it is smaller than the sum of its proper divisors (1323391574736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422856658224 is a wasteful number, since it uses less digits than its factorization.

422856658224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 422856658224 in words is "four hundred twenty-two billion, eight hundred fifty-six million, six hundred fifty-eight thousand, two hundred twenty-four".