445286350080 has 864 divisors, whose sum is σ = 1870689730560. Its totient is φ = 99632332800.

The previous prime is 445286350063. The next prime is 445286350099. The reversal of 445286350080 is 80053682544.

445286350080 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 8 + 63 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 54358785 + ... + 54366975.

Almost surely, 2^445286350080 is an apocalyptic number.

445286350080 is a gapful number since it is divisible by the number (40) 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 445286350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935344865280).

445286350080 is an abundant number, since it is smaller than the sum of its proper divisors (1425403380480).

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

445286350080 is a wasteful number, since it uses less digits than its factorization.

445286350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 445286350080 in words is "four hundred forty-five billion, two hundred eighty-six million, three hundred fifty thousand, eighty".