331306080768000 has 4160 divisors, whose sum is σ = 1408054810466304. Its totient is φ = 76918947840000.

The previous prime is 331306080767999. The next prime is 331306080768041. The reversal of 331306080768000 is 867080603133.

331306080768000 is a `hidden beast` number, since 3 + 3 + 1 + 30 + 608 + 0 + 7 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 718668287770 + ... + 718668288230.

Almost surely, 2^{331306080768000} is an apocalyptic number.

331306080768000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331306080768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704027405233152).

331306080768000 is an abundant number, since it is smaller than the sum of its proper divisors (1076748729698304).

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

331306080768000 is a wasteful number, since it uses less digits than its factorization.

331306080768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 331306080768000 in words is "three hundred thirty-one trillion, three hundred six billion, eighty million, seven hundred sixty-eight thousand".