330312450250000 has 315 divisors, whose sum is σ = 808528713571089. Its totient is φ = 130725543600000.

The previous prime is 330312450249997. The next prime is 330312450250037. The reversal of 330312450250000 is 52054213033.

The square root of 330312450250000 is 18174500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 289385416414224 + 40927033835776 = 17011332^2 + 6397424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1481221749889 + ... + 1481221750111.

Almost surely, 2^{330312450250000} is an apocalyptic number.

330312450250000 is the 18174500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330312450250000

330312450250000 is an abundant number, since it is smaller than the sum of its proper divisors (478216263321089).

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

330312450250000 is an frugal number, since it uses more digits than its factorization.

330312450250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

It can be divided in two parts, 3303124 and 50250000, that added together give a square (53553124 = 7318²).

The spelling of 330312450250000 in words is "three hundred thirty trillion, three hundred twelve billion, four hundred fifty million, two hundred fifty thousand".