331468428245680 has 160 divisors (see below), whose sum is σ = 841501400463360. Its totient is φ = 120422609064960.

The previous prime is 331468428245627. The next prime is 331468428245701. The reversal of 331468428245680 is 86542824864133.

It is a super-3 number, since 3×331468428245680³ (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, 16640806761 + ... + 16640826679.

It is an arithmetic number, because the mean of its divisors is an integer number (5259383752896).

Almost surely, 2^{331468428245680} 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 331468428245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420750700231680).

331468428245680 is an abundant number, since it is smaller than the sum of its proper divisors (510032972217680).

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

331468428245680 is a wasteful number, since it uses less digits than its factorization.

331468428245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36467 (or 36461 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 64.

The spelling of 331468428245680 in words is "three hundred thirty-one trillion, four hundred sixty-eight billion, four hundred twenty-eight million, two hundred forty-five thousand, six hundred eighty".