445630424036544 has 448 divisors, whose sum is σ = 1345735223078400. Its totient is φ = 144527309144064.

The previous prime is 445630424036467. The next prime is 445630424036729.

445630424036544 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 30 + 4 + 240 + 365 + 4 + 4 = 666.

445630424036544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26727660592 + ... + 26727677264.

It is an arithmetic number, because the mean of its divisors is an integer number (3003873265800).

Almost surely, 2^{445630424036544} 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 445630424036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672867611539200).

445630424036544 is an abundant number, since it is smaller than the sum of its proper divisors (900104799041856).

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

445630424036544 is a wasteful number, since it uses less digits than its factorization.

445630424036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18093 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 54.

The spelling of 445630424036544 in words is "four hundred forty-five trillion, six hundred thirty billion, four hundred twenty-four million, thirty-six thousand, five hundred forty-four".