331146444641133 has 96 divisors (see below), whose sum is σ = 527961572933760. Its totient is φ = 183773399040000.

The previous prime is 331146444641063. The next prime is 331146444641189.

It is a happy number.

331146444641133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331146444641133 - 2¹² = 331146444637037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331146444641333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30628383 + ... + 40004883.

It is an arithmetic number, because the mean of its divisors is an integer number (5499599718060).

Almost surely, 2^{331146444641133} is an apocalyptic number.

331146444641133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331146444641133 is a deficient number, since it is larger than the sum of its proper divisors (196815128292627).

331146444641133 is a wasteful number, since it uses less digits than its factorization.

331146444641133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376699 (or 9376688 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 331146444641133 in words is "three hundred thirty-one trillion, one hundred forty-six billion, four hundred forty-four million, six hundred forty-one thousand, one hundred thirty-three".