331441226001 has 128 divisors (see below), whose sum is σ = 533191680000. Its totient is φ = 202939976448.

The previous prime is 331441225993. The next prime is 331441226033. The reversal of 331441226001 is 100622144133.

It is a happy number.

331441226001 is a `hidden beast` number, since 3 + 3 + 1 + 44 + 12 + 2 + 600 + 1 = 666.

It is not a de Polignac number, because 331441226001 - 2³ = 331441225993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331441226071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 791028970 + ... + 791029388.

It is an arithmetic number, because the mean of its divisors is an integer number (4165560000).

Almost surely, 2^331441226001 is an apocalyptic number.

It is an amenable number.

331441226001 is a deficient number, since it is larger than the sum of its proper divisors (201750453999).

331441226001 is a wasteful number, since it uses less digits than its factorization.

331441226001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 331441226001 in words is "three hundred thirty-one billion, four hundred forty-one million, two hundred twenty-six thousand, one".