445912824672 has 216 divisors, whose sum is σ = 1479488466456. Its totient is φ = 127024257024.

The previous prime is 445912824661. The next prime is 445912824689. The reversal of 445912824672 is 276428219544.

445912824672 is a `hidden beast` number, since 4 + 4 + 59 + 128 + 2 + 467 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4708863 + ... + 4802625.

It is an arithmetic number, because the mean of its divisors is an integer number (6849483641).

Almost surely, 2^445912824672 is an apocalyptic number.

445912824672 is a gapful number since it is divisible by the number (42) 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 445912824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739744233228).

445912824672 is an abundant number, since it is smaller than the sum of its proper divisors (1033575641784).

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

445912824672 is a wasteful number, since it uses less digits than its factorization.

445912824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94130 (or 94112 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 445912824672 in words is "four hundred forty-five billion, nine hundred twelve million, eight hundred twenty-four thousand, six hundred seventy-two".