332541121145233 has 48 divisors (see below), whose sum is σ = 451663588349568. Its totient is φ = 238237464960000.

The previous prime is 332541121145213. The next prime is 332541121145297.

332541121145233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332541121145233 - 2⁹ = 332541121144721 is a prime.

It is a super-2 number, since 2×332541121145233² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332541121145213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57397216 + ... + 62924737.

It is an arithmetic number, because the mean of its divisors is an integer number (9409658090616).

Almost surely, 2^{332541121145233} is an apocalyptic number.

It is an amenable number.

332541121145233 is a deficient number, since it is larger than the sum of its proper divisors (119122467204335).

332541121145233 is a wasteful number, since it uses less digits than its factorization.

332541121145233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120322246 (or 120322235 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The spelling of 332541121145233 in words is "three hundred thirty-two trillion, five hundred forty-one billion, one hundred twenty-one million, one hundred forty-five thousand, two hundred thirty-three".