422468369137584 has 1080 divisors, whose sum is σ = 1545951471835680. Its totient is φ = 105413167411200.

The previous prime is 422468369137567. The next prime is 422468369137603. The reversal of 422468369137584 is 485731963864224.

422468369137584 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 6 + 8 + 3 + 6 + 9 + 1 + 37 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16057927822 + ... + 16057954130.

It is an arithmetic number, because the mean of its divisors is an integer number (1431436547996).

Almost surely, 2^{422468369137584} is an apocalyptic number.

422468369137584 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 422468369137584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772975735917840).

422468369137584 is an abundant number, since it is smaller than the sum of its proper divisors (1123483102698096).

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

422468369137584 is a wasteful number, since it uses less digits than its factorization.

422468369137584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26551 (or 26500 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 422468369137584 in words is "four hundred twenty-two trillion, four hundred sixty-eight billion, three hundred sixty-nine million, one hundred thirty-seven thousand, five hundred eighty-four".