332607145000 has 160 divisors (see below), whose sum is σ = 849369739680. Its totient is φ = 121327200000.

The previous prime is 332607144997. The next prime is 332607145007. The reversal of 332607145000 is 541706233.

It is a super-2 number, since 2×332607145000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332607145007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5364175 + ... + 5425825.

It is an arithmetic number, because the mean of its divisors is an integer number (5308560873).

Almost surely, 2^332607145000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332607145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424684869840).

332607145000 is an abundant number, since it is smaller than the sum of its proper divisors (516762594680).

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

332607145000 is a wasteful number, since it uses less digits than its factorization.

332607145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61773 (or 61754 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 332607145000 in words is "three hundred thirty-two billion, six hundred seven million, one hundred forty-five thousand".