445332465765000 has 480 divisors, whose sum is σ = 1644629884223040. Its totient is φ = 107929022400000.

The previous prime is 445332465764993. The next prime is 445332465765001. The reversal of 445332465765000 is 567564233544.

445332465765000 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 3 + 2 + 4 + 65 + 76 + 500 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (445332465765001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1785340290 + ... + 1785589710.

It is an arithmetic number, because the mean of its divisors is an integer number (3426312258798).

Almost surely, 2^{445332465765000} is an apocalyptic number.

445332465765000 is a gapful number since it is divisible by the number (40) 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 445332465765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822314942111520).

445332465765000 is an abundant number, since it is smaller than the sum of its proper divisors (1199297418458040).

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

445332465765000 is a wasteful number, since it uses less digits than its factorization.

445332465765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253071 (or 253049 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 54.

The spelling of 445332465765000 in words is "four hundred forty-five trillion, three hundred thirty-two billion, four hundred sixty-five million, seven hundred sixty-five thousand".