330388260048 has 1800 divisors, whose sum is σ = 1346744636160. Its totient is φ = 77598259200.

The previous prime is 330388259987. The next prime is 330388260053. The reversal of 330388260048 is 840062883033.

330388260048 is a `hidden beast` number, since 3 + 3 + 0 + 38 + 8 + 2 + 600 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330388259985 and 330388260012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4525866540 + ... + 4525866612.

Almost surely, 2^330388260048 is an apocalyptic number.

330388260048 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 330388260048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673372318080).

330388260048 is an abundant number, since it is smaller than the sum of its proper divisors (1016356376112).

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

330388260048 is a wasteful number, since it uses less digits than its factorization.

330388260048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 330388260048 in words is "three hundred thirty billion, three hundred eighty-eight million, two hundred sixty thousand, forty-eight".