332145541233 has 72 divisors (see below), whose sum is σ = 538489400904. Its totient is φ = 197087109120.

The previous prime is 332145541229. The next prime is 332145541237.

332145541233 is a `hidden beast` number, since 33 + 21 + 45 + 541 + 23 + 3 = 666.

332145541233 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (332145541229) and next prime (332145541237).

It can be written as a sum of positive squares in 4 ways, for example, as 108551798784 + 223593742449 = 329472^2 + 472857^2 .

It is not a de Polignac number, because 332145541233 - 2² = 332145541229 is a prime.

It is a super-2 number, since 2×332145541233² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332145541237) 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, 10875841 + ... + 10906337.

It is an arithmetic number, because the mean of its divisors is an integer number (7479019457).

Almost surely, 2^332145541233 is an apocalyptic number.

332145541233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332145541233 is a deficient number, since it is larger than the sum of its proper divisors (206343859671).

332145541233 is a wasteful number, since it uses less digits than its factorization.

332145541233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30735 (or 30721 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 332145 and 541233, that added together give a palindrome (873378).

The spelling of 332145541233 in words is "three hundred thirty-two billion, one hundred forty-five million, five hundred forty-one thousand, two hundred thirty-three".