445111361630208 has 3744 divisors, whose sum is σ = 1732319596339200. Its totient is φ = 112480918437888.

The previous prime is 445111361630191. The next prime is 445111361630213. The reversal of 445111361630208 is 802036163111544.

It is a happy number.

445111361630208 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 1 + 1 + 3 + 6 + 1 + 630 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3504813871041 + ... + 3504813871167.

Almost surely, 2^{445111361630208} is an apocalyptic number.

445111361630208 is a gapful number since it is divisible by the number (48) 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 445111361630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866159798169600).

445111361630208 is an abundant number, since it is smaller than the sum of its proper divisors (1287208234708992).

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

445111361630208 is a wasteful number, since it uses less digits than its factorization.

445111361630208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 445111361630208 in words is "four hundred forty-five trillion, one hundred eleven billion, three hundred sixty-one million, six hundred thirty thousand, two hundred eight".