445643819712 has 672 divisors, whose sum is σ = 1726356183552. Its totient is φ = 110612791296.

The previous prime is 445643819657. The next prime is 445643819807. The reversal of 445643819712 is 217918346544.

445643819712 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 438 + 197 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24049683 + ... + 24068205.

It is an arithmetic number, because the mean of its divisors is an integer number (2568982416).

Almost surely, 2^445643819712 is an apocalyptic number.

445643819712 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 445643819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863178091776).

445643819712 is an abundant number, since it is smaller than the sum of its proper divisors (1280712363840).

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

445643819712 is a wasteful number, since it uses less digits than its factorization.

445643819712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18587 (or 18565 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 445643819712 in words is "four hundred forty-five billion, six hundred forty-three million, eight hundred nineteen thousand, seven hundred twelve".