445668303866544 has 180 divisors, whose sum is σ = 1393421246280336. Its totient is φ = 132837050016000.

The previous prime is 445668303866521. The next prime is 445668303866593.

It is a happy number.

445668303866544 is a `hidden beast` number, since 4 + 4 + 566 + 8 + 3 + 0 + 3 + 8 + 6 + 6 + 54 + 4 = 666.

445668303866544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 35 ways as a sum of consecutive naturals, for example, 208591572 + ... + 210717299.

Almost surely, 2^{445668303866544} is an apocalyptic number.

445668303866544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445668303866544 is an abundant number, since it is smaller than the sum of its proper divisors (947752942413792).

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

445668303866544 is a wasteful number, since it uses less digits than its factorization.

445668303866544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419308968 (or 419308948 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 72.

The spelling of 445668303866544 in words is "four hundred forty-five trillion, six hundred sixty-eight billion, three hundred three million, eight hundred sixty-six thousand, five hundred forty-four".