422703816795456 has 224 divisors, whose sum is σ = 1345920392248320. Its totient is φ = 114375919104000.

The previous prime is 422703816795391. The next prime is 422703816795467. The reversal of 422703816795456 is 654597618307224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69900076 + ... + 75706196.

It is an arithmetic number, because the mean of its divisors is an integer number (6008573179680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅422703816795456 = 845407633590912, but 3⋅422703816795456 = 1268111450386368 is not.

Almost surely, 2^{422703816795456} 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 422703816795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672960196124160).

422703816795456 is an abundant number, since it is smaller than the sum of its proper divisors (923216575452864).

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

422703816795456 is a wasteful number, since it uses less digits than its factorization.

422703816795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809013 (or 5809003 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 69.

The spelling of 422703816795456 in words is "four hundred twenty-two trillion, seven hundred three billion, eight hundred sixteen million, seven hundred ninety-five thousand, four hundred fifty-six".