445715832718314 has 128 divisors (see below), whose sum is σ = 1044384675840000. Its totient is φ = 140512895921664.

The previous prime is 445715832718301. The next prime is 445715832718327. The reversal of 445715832718314 is 413817238517544.

445715832718314 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 1 + 583 + 2 + 7 + 18 + 31 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (445715832718301) and next prime (445715832718327).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3313632649 + ... + 3313767155.

It is an arithmetic number, because the mean of its divisors is an integer number (8159255280000).

Almost surely, 2^{445715832718314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445715832718314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522192337920000).

445715832718314 is an abundant number, since it is smaller than the sum of its proper divisors (598668843121686).

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

445715832718314 is a wasteful number, since it uses less digits than its factorization.

445715832718314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140009 (or 140003 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 445715832718314 in words is "four hundred forty-five trillion, seven hundred fifteen billion, eight hundred thirty-two million, seven hundred eighteen thousand, three hundred fourteen".