330942384002016 has 48 divisors (see below), whose sum is σ = 965248620008400. Its totient is φ = 110314128000384.

The previous prime is 330942384001991. The next prime is 330942384002059. The reversal of 330942384002016 is 610200483249033.

330942384002016 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 4 + 2 + 38 + 400 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191517582471 + ... + 191517584198.

It is an arithmetic number, because the mean of its divisors is an integer number (20109346250175).

Almost surely, 2^{330942384002016} is an apocalyptic number.

330942384002016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

330942384002016 is an abundant number, since it is smaller than the sum of its proper divisors (634306236006384).

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

330942384002016 is a wasteful number, since it uses less digits than its factorization.

330942384002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383035166688 (or 383035166674 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 330942384002016 in words is "three hundred thirty trillion, nine hundred forty-two billion, three hundred eighty-four million, two thousand, sixteen".