422083036635648 has 640 divisors, whose sum is σ = 1222872691138560. Its totient is φ = 128862978048000.

The previous prime is 422083036635647. The next prime is 422083036635661. The reversal of 422083036635648 is 846536630380224.

It is a junction number, because it is equal to n+sod(n) for n = 422083036635591 and 422083036635600.

It is not an unprimeable number, because it can be changed into a prime (422083036635643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327449988988 + ... + 327449990276.

It is an arithmetic number, because the mean of its divisors is an integer number (1910738579904).

Almost surely, 2^{422083036635648} is an apocalyptic number.

422083036635648 is a gapful number since it is divisible by the number (48) 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 422083036635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611436345569280).

422083036635648 is an abundant number, since it is smaller than the sum of its proper divisors (800789654502912).

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

422083036635648 is a wasteful number, since it uses less digits than its factorization.

422083036635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 60.

The spelling of 422083036635648 in words is "four hundred twenty-two trillion, eighty-three billion, thirty-six million, six hundred thirty-five thousand, six hundred forty-eight".