445316404613544 has 256 divisors, whose sum is σ = 1331025246720000. Its totient is φ = 137526439514112.

The previous prime is 445316404613543. The next prime is 445316404613569.

445316404613544 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 1 + 6 + 40 + 46 + 13 + 544 = 666.

445316404613544 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (445316404613543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 41967697 + ... + 51496799.

It is an arithmetic number, because the mean of its divisors is an integer number (5199317370000).

Almost surely, 2^{445316404613544} 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 445316404613544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665512623360000).

445316404613544 is an abundant number, since it is smaller than the sum of its proper divisors (885708842106456).

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

445316404613544 is a wasteful number, since it uses less digits than its factorization.

445316404613544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529389 (or 9529379 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 445316404613544 in words is "four hundred forty-five trillion, three hundred sixteen billion, four hundred four million, six hundred thirteen thousand, five hundred forty-four".