445226508470016 has 864 divisors, whose sum is σ = 1678590538584960. Its totient is φ = 110309128667136.

The previous prime is 445226508469999. The next prime is 445226508470017. The reversal of 445226508470016 is 610074805622544.

445226508470016 is a `hidden beast` number, since 4 + 4 + 52 + 2 + 6 + 508 + 4 + 70 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445226508470017) 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, 223979946 + ... + 225958998.

Almost surely, 2^{445226508470016} 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 445226508470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839295269292480).

445226508470016 is an abundant number, since it is smaller than the sum of its proper divisors (1233364030114944).

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

445226508470016 is a wasteful number, since it uses less digits than its factorization.

445226508470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979161 (or 1979144 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 445226508470016 in words is "four hundred forty-five trillion, two hundred twenty-six billion, five hundred eight million, four hundred seventy thousand, sixteen".