445228176960 has 392 divisors, whose sum is σ = 1816660645056. Its totient is φ = 101766067200.

The previous prime is 445228176797. The next prime is 445228176983. The reversal of 445228176960 is 69671822544.

445228176960 is a `hidden beast` number, since 44 + 522 + 8 + 1 + 76 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 445228176897 and 445228176906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1496635 + ... + 1769285.

Almost surely, 2^445228176960 is an apocalyptic number.

445228176960 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 445228176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908330322528).

445228176960 is an abundant number, since it is smaller than the sum of its proper divisors (1371432468096).

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

445228176960 is an equidigital number, since it uses as much as digits as its factorization.

445228176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272693 (or 272668 counting only the distinct ones).

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

The spelling of 445228176960 in words is "four hundred forty-five billion, two hundred twenty-eight million, one hundred seventy-six thousand, nine hundred sixty".