445716754560 has 768 divisors, whose sum is σ = 1963606993920. Its totient is φ = 90458726400.

The previous prime is 445716754547. The next prime is 445716754631. The reversal of 445716754560 is 65457617544.

445716754560 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 1 + 6 + 75 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 445716754497 and 445716754506.

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, 19059675 + ... + 19083045.

It is an arithmetic number, because the mean of its divisors is an integer number (2556779940).

Almost surely, 2^445716754560 is an apocalyptic number.

445716754560 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 445716754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981803496960).

445716754560 is an abundant number, since it is smaller than the sum of its proper divisors (1517890239360).

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

445716754560 is a wasteful number, since it uses less digits than its factorization.

445716754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23457 (or 23442 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 445716754560 in words is "four hundred forty-five billion, seven hundred sixteen million, seven hundred fifty-four thousand, five hundred sixty".