332314404413233 has 24 divisors (see below), whose sum is σ = 365570345703528. Its totient is φ = 301856617920000.

The previous prime is 332314404413179. The next prime is 332314404413263.

332314404413233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 34172816445504 + 298141587967729 = 5845752^2 + 17266777^2 .

It is not a de Polignac number, because 332314404413233 - 2²⁵ = 332314370858801 is a prime.

It is a super-2 number, since 2×332314404413233² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332314404413263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4173663163 + ... + 4173742783.

It is an arithmetic number, because the mean of its divisors is an integer number (15232097737647).

Almost surely, 2^{332314404413233} is an apocalyptic number.

It is an amenable number.

332314404413233 is a deficient number, since it is larger than the sum of its proper divisors (33255941290295).

332314404413233 is a wasteful number, since it uses less digits than its factorization.

332314404413233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107457 (or 107446 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

It can be divided in two parts, 33231440 and 4413233, that added together give a palindrome (37644673).

The spelling of 332314404413233 in words is "three hundred thirty-two trillion, three hundred fourteen billion, four hundred four million, four hundred thirteen thousand, two hundred thirty-three".