332442121244233 has 216 divisors, whose sum is σ = 469120997240280. Its totient is φ = 234571873536000.

The previous prime is 332442121244221. The next prime is 332442121244279.

332442121244233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 118143791143609 + 214298330100624 = 10869397^2 + 14638932^2 .

It is a de Polignac number, because none of the positive numbers 2^k-332442121244233 is a prime.

It is a super-2 number, since 2×332442121244233² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332442121244333) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11031013941 + ... + 11031044077.

It is an arithmetic number, because the mean of its divisors is an integer number (2171856468705).

Almost surely, 2^{332442121244233} is an apocalyptic number.

It is an amenable number.

332442121244233 is a deficient number, since it is larger than the sum of its proper divisors (136678875996047).

332442121244233 is a wasteful number, since it uses less digits than its factorization.

332442121244233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30409 (or 30378 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 332442121244233 in words is "three hundred thirty-two trillion, four hundred forty-two billion, one hundred twenty-one million, two hundred forty-four thousand, two hundred thirty-three".