422348141952 has 480 divisors, whose sum is σ = 1404455421600. Its totient is φ = 125863372800.

The previous prime is 422348141881. The next prime is 422348141953. The reversal of 422348141952 is 259141843224.

422348141952 is a `hidden beast` number, since 4 + 223 + 4 + 8 + 1 + 419 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 422348141898 and 422348141907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422348141953) 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 59 ways as a sum of consecutive naturals, for example, 76523449 + ... + 76528967.

It is an arithmetic number, because the mean of its divisors is an integer number (2925948795).

Almost surely, 2^422348141952 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 422348141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702227710800).

422348141952 is an abundant number, since it is smaller than the sum of its proper divisors (982107279648).

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

422348141952 is a wasteful number, since it uses less digits than its factorization.

422348141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5596 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 422348141952 in words is "four hundred twenty-two billion, three hundred forty-eight million, one hundred forty-one thousand, nine hundred fifty-two".