445442242244544 has 448 divisors, whose sum is σ = 1333524239646720. Its totient is φ = 145784398233600.

The previous prime is 445442242244543. The next prime is 445442242244563.

445442242244544 is a `hidden beast` number, since 4 + 4 + 54 + 4 + 2 + 2 + 4 + 2 + 2 + 44 + 544 = 666.

445442242244544 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×445442242244544³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445442242244543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71304982029 + ... + 71304988275.

Almost surely, 2^{445442242244544} 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 445442242244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666762119823360).

445442242244544 is an abundant number, since it is smaller than the sum of its proper divisors (888081997402176).

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

445442242244544 is a wasteful number, since it uses less digits than its factorization.

445442242244544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9697 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 54.

The spelling of 445442242244544 in words is "four hundred forty-five trillion, four hundred forty-two billion, two hundred forty-two million, two hundred forty-four thousand, five hundred forty-four".