330045413152000 has 288 divisors, whose sum is σ = 1011919245652224. Its totient is φ = 104453932032000.

The previous prime is 330045413151997. The next prime is 330045413152001. The reversal of 330045413152000 is 251314540033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330045413152001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53757886 + ... + 59581885.

It is an arithmetic number, because the mean of its divisors is an integer number (3513608491848).

Almost surely, 2^{330045413152000} is an apocalyptic number.

It is an amenable number.

330045413152000 is an abundant number, since it is smaller than the sum of its proper divisors (681873832500224).

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

330045413152000 is a wasteful number, since it uses less digits than its factorization.

330045413152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113339822 (or 113339798 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 330045413152000 its reverse (251314540033), we get a palindrome (330296727692033).

The spelling of 330045413152000 in words is "three hundred thirty trillion, forty-five billion, four hundred thirteen million, one hundred fifty-two thousand".