322114234333344 has 96 divisors (see below), whose sum is σ = 847601063809920. Its totient is φ = 107111105713152.

The previous prime is 322114234333327. The next prime is 322114234333349. The reversal of 322114234333344 is 443333432411223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×322114234333344² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 322114234333296 and 322114234333305.

It is not an unprimeable number, because it can be changed into a prime (322114234333349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124623922 + ... + 127182350.

It is an arithmetic number, because the mean of its divisors is an integer number (8829177748020).

Almost surely, 2^{322114234333344} is an apocalyptic number.

It is an amenable number.

322114234333344 is an abundant number, since it is smaller than the sum of its proper divisors (525486829476576).

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

322114234333344 is a wasteful number, since it uses less digits than its factorization.

322114234333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561622 (or 2561614 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 42.

Adding to 322114234333344 its reverse (443333432411223), we get a palindrome (765447666744567).

The spelling of 322114234333344 in words is "three hundred twenty-two trillion, one hundred fourteen billion, two hundred thirty-four million, three hundred thirty-three thousand, three hundred forty-four".