422185585536 has 1024 divisors, whose sum is σ = 1600968499200. Its totient is φ = 107495424000.

The previous prime is 422185585517. The next prime is 422185585559. The reversal of 422185585536 is 635585581224.

422185585536 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 8 + 5 + 585 + 53 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260446806 + ... + 260448426.

It is an arithmetic number, because the mean of its divisors is an integer number (1563445800).

Almost surely, 2^422185585536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422185585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800484249600).

422185585536 is an abundant number, since it is smaller than the sum of its proper divisors (1178782913664).

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

422185585536 is a wasteful number, since it uses less digits than its factorization.

422185585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1698 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 422185585536 in words is "four hundred twenty-two billion, one hundred eighty-five million, five hundred eighty-five thousand, five hundred thirty-six".