445047446214 has 192 divisors, whose sum is σ = 1189458691200. Its totient is φ = 117369077760.

The previous prime is 445047446213. The next prime is 445047446297. The reversal of 445047446214 is 412644740544.

445047446214 is a `hidden beast` number, since 4 + 4 + 504 + 74 + 4 + 62 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 445047446214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445047446213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46118862 + ... + 46128510.

It is an arithmetic number, because the mean of its divisors is an integer number (6195097350).

Almost surely, 2^445047446214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445047446214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594729345600).

445047446214 is an abundant number, since it is smaller than the sum of its proper divisors (744411244986).

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

445047446214 is a wasteful number, since it uses less digits than its factorization.

445047446214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 445047446214 in words is "four hundred forty-five billion, forty-seven million, four hundred forty-six thousand, two hundred fourteen".