162822223872 has 864 divisors, whose sum is σ = 619890485760. Its totient is φ = 42221813760.

The previous prime is 162822223849. The next prime is 162822223877. The reversal of 162822223872 is 278322228261.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×162822223872² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162822223877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268240593 + ... + 268241199.

It is an arithmetic number, because the mean of its divisors is an integer number (717465840).

Almost surely, 2^162822223872 is an apocalyptic number.

162822223872 is a gapful number since it is divisible by the number (12) 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 162822223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309945242880).

162822223872 is an abundant number, since it is smaller than the sum of its proper divisors (457068261888).

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

162822223872 is an equidigital number, since it uses as much as digits as its factorization.

162822223872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 630 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 162822223872 in words is "one hundred sixty-two billion, eight hundred twenty-two million, two hundred twenty-three thousand, eight hundred seventy-two".