2022816865664 has 256 divisors, whose sum is σ = 5002096809600. Its totient is φ = 795147632640.

The previous prime is 2022816865661. The next prime is 2022816865673. The reversal of 2022816865664 is 4665686182202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022816865661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101267582 + ... + 101287554.

Almost surely, 2^{2022816865664} 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 2022816865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501048404800).

2022816865664 is an abundant number, since it is smaller than the sum of its proper divisors (2979279943936).

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

2022816865664 is a wasteful number, since it uses less digits than its factorization.

2022816865664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20181 (or 20169 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 2022816865664 in words is "two trillion, twenty-two billion, eight hundred sixteen million, eight hundred sixty-five thousand, six hundred sixty-four".