331054412102664 has 128 divisors (see below), whose sum is σ = 873082203840000. Its totient is φ = 104317301412864.

The previous prime is 331054412102551. The next prime is 331054412102693. The reversal of 331054412102664 is 466201214450133.

It is a super-3 number, since 3×331054412102664³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567294759 + ... + 567878025.

It is an arithmetic number, because the mean of its divisors is an integer number (6820954717500).

Almost surely, 2^{331054412102664} 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 331054412102664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436541101920000).

331054412102664 is an abundant number, since it is smaller than the sum of its proper divisors (542027791737336).

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

331054412102664 is a wasteful number, since it uses less digits than its factorization.

331054412102664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585987 (or 585983 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 331054412102664 its reverse (466201214450133), we get a palindrome (797255626552797).

The spelling of 331054412102664 in words is "three hundred thirty-one trillion, fifty-four billion, four hundred twelve million, one hundred two thousand, six hundred sixty-four".