330085925645472 has 480 divisors, whose sum is σ = 1037672176730112. Its totient is φ = 102572294823936.

The previous prime is 330085925645471. The next prime is 330085925645473. The reversal of 330085925645472 is 274546529580033.

330085925645472 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 8 + 5 + 9 + 25 + 64 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (330085925645471) and next prime (330085925645473).

It is not an unprimeable number, because it can be changed into a prime (330085925645471) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3430378353 + ... + 3430474575.

Almost surely, 2^{330085925645472} is an apocalyptic number.

330085925645472 is a gapful number since it is divisible by the number (32) 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 330085925645472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518836088365056).

330085925645472 is an abundant number, since it is smaller than the sum of its proper divisors (707586251084640).

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

330085925645472 is a wasteful number, since it uses less digits than its factorization.

330085925645472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97002 (or 96985 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 330085925645472 in words is "three hundred thirty trillion, eighty-five billion, nine hundred twenty-five million, six hundred forty-five thousand, four hundred seventy-two".