445243342544 has 320 divisors, whose sum is σ = 1174618152960. Its totient is φ = 157878927360.

The previous prime is 445243342517. The next prime is 445243342547.

445243342544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 445243342495 and 445243342504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445243342547) 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, 719294267 + ... + 719294885.

It is an arithmetic number, because the mean of its divisors is an integer number (3670681728).

Almost surely, 2^445243342544 is an apocalyptic number.

445243342544 is a gapful number since it is divisible by the number (44) 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 445243342544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587309076480).

445243342544 is an abundant number, since it is smaller than the sum of its proper divisors (729374810416).

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

445243342544 is a wasteful number, since it uses less digits than its factorization.

445243342544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 44.

It can be divided in two parts, 445243 and 342544, that added together give a palindrome (787787).

The spelling of 445243342544 in words is "four hundred forty-five billion, two hundred forty-three million, three hundred forty-two thousand, five hundred forty-four".