445383257647104 has 2304 divisors, whose sum is σ = 1700663537664000. Its totient is φ = 115880067072000.

The previous prime is 445383257647067. The next prime is 445383257647193. The reversal of 445383257647104 is 401746752383544.

445383257647104 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 8 + 3 + 2 + 576 + 47 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89958239829 + ... + 89958244779.

It is an arithmetic number, because the mean of its divisors is an integer number (738135216000).

Almost surely, 2^{445383257647104} 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 445383257647104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850331768832000).

445383257647104 is an abundant number, since it is smaller than the sum of its proper divisors (1255280280016896).

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

445383257647104 is an equidigital number, since it uses as much as digits as its factorization.

445383257647104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 445383257647104 in words is "four hundred forty-five trillion, three hundred eighty-three billion, two hundred fifty-seven million, six hundred forty-seven thousand, one hundred four".