22314033041322 has 128 divisors (see below), whose sum is σ = 52025960448000. Its totient is φ = 6313520102400.

The previous prime is 22314033041309. The next prime is 22314033041371.

It is a happy number.

22314033041322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22314033041322³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22314033041322.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82873858 + ... + 83142674.

It is an arithmetic number, because the mean of its divisors is an integer number (406452816000).

Almost surely, 2^{22314033041322} is an apocalyptic number.

22314033041322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314033041322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26012980224000).

22314033041322 is an abundant number, since it is smaller than the sum of its proper divisors (29711927406678).

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

22314033041322 is a wasteful number, since it uses less digits than its factorization.

22314033041322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270292.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2231403 and 3041322, that added together give a palindrome (5272725).

The spelling of 22314033041322 in words is "twenty-two trillion, three hundred fourteen billion, thirty-three million, forty-one thousand, three hundred twenty-two".