331403374066304 has 128 divisors (see below), whose sum is σ = 675371466086400. Its totient is φ = 161910101377024.

The previous prime is 331403374066301. The next prime is 331403374066357. The reversal of 331403374066304 is 403660473304133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×331403374066304² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (331403374066301) 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 15 ways as a sum of consecutive naturals, for example, 15481064369 + ... + 15481085775.

It is an arithmetic number, because the mean of its divisors is an integer number (5276339578800).

Almost surely, 2^{331403374066304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331403374066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337685733043200).

331403374066304 is an abundant number, since it is smaller than the sum of its proper divisors (343968092020096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331403374066304 is a wasteful number, since it uses less digits than its factorization.

331403374066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25570 (or 25558 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 47.

The spelling of 331403374066304 in words is "three hundred thirty-one trillion, four hundred three billion, three hundred seventy-four million, sixty-six thousand, three hundred four".