445216976064 has 336 divisors, whose sum is σ = 1523970495360. Its totient is φ = 127085898240.

The previous prime is 445216976027. The next prime is 445216976107. The reversal of 445216976064 is 460679612544.

445216976064 is a `hidden beast` number, since 4 + 4 + 5 + 21 + 6 + 9 + 7 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 445216976064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133018039 + ... + 133021385.

Almost surely, 2^445216976064 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 445216976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761985247680).

445216976064 is an abundant number, since it is smaller than the sum of its proper divisors (1078753519296).

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

445216976064 is a wasteful number, since it uses less digits than its factorization.

445216976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 445216976064 in words is "four hundred forty-five billion, two hundred sixteen million, nine hundred seventy-six thousand, sixty-four".