422506348992 has 672 divisors, whose sum is σ = 1590353740800. Its totient is φ = 107572727808.

The previous prime is 422506348973. The next prime is 422506349017. The reversal of 422506348992 is 299843605224.

422506348992 is a `hidden beast` number, since 4 + 2 + 2 + 506 + 3 + 48 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×422506348992² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 59278933 + ... + 59286059.

Almost surely, 2^422506348992 is an apocalyptic number.

422506348992 is a gapful number since it is divisible by the number (42) 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 422506348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795176870400).

422506348992 is an abundant number, since it is smaller than the sum of its proper divisors (1167847391808).

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

422506348992 is a wasteful number, since it uses less digits than its factorization.

422506348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 422506348992 in words is "four hundred twenty-two billion, five hundred six million, three hundred forty-eight thousand, nine hundred ninety-two".