422016363610224 has 160 divisors (see below), whose sum is σ = 1168296165759744. Its totient is φ = 130796590018560.

The previous prime is 422016363610147. The next prime is 422016363610253.

It is a happy number.

422016363610224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422016363610224² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1770358467 + ... + 1770596829.

Almost surely, 2^{422016363610224} 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 422016363610224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584148082879872).

422016363610224 is an abundant number, since it is smaller than the sum of its proper divisors (746279802149520).

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

422016363610224 is a wasteful number, since it uses less digits than its factorization.

422016363610224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264615 (or 264609 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 422016363610224 in words is "four hundred twenty-two trillion, sixteen billion, three hundred sixty-three million, six hundred ten thousand, two hundred twenty-four".