330348930048 has 264 divisors, whose sum is σ = 1005627561120. Its totient is φ = 104159969280.

The previous prime is 330348930031. The next prime is 330348930049. The reversal of 330348930048 is 840039843033.

330348930048 is a `hidden beast` number, since 330 + 3 + 4 + 8 + 9 + 300 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330348929985 and 330348930012.

It is not an unprimeable number, because it can be changed into a prime (330348930049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171075643 + ... + 171077573.

Almost surely, 2^330348930048 is an apocalyptic number.

330348930048 is a gapful number since it is divisible by the number (38) 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 330348930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502813780560).

330348930048 is an abundant number, since it is smaller than the sum of its proper divisors (675278631072).

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

330348930048 is a wasteful number, since it uses less digits than its factorization.

330348930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2932 counting only the distinct ones).

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

The spelling of 330348930048 in words is "three hundred thirty billion, three hundred forty-eight million, nine hundred thirty thousand, forty-eight".