445445414000000 has 224 divisors, whose sum is σ = 1132850571202080. Its totient is φ = 174387104000000.

The previous prime is 445445413999907. The next prime is 445445414000011. The reversal of 445445414000000 is 414544544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 91630610 + ... + 96369390.

Almost surely, 2^{445445414000000} is an apocalyptic number.

445445414000000 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 445445414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566425285601040).

445445414000000 is an abundant number, since it is smaller than the sum of its proper divisors (687405157202080).

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

445445414000000 is an frugal number, since it uses more digits than its factorization.

445445414000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738872 (or 4738835 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 445445414000000 its reverse (414544544), we get a palindrome (445445828544544).

The spelling of 445445414000000 in words is "four hundred forty-five trillion, four hundred forty-five billion, four hundred fourteen million", and thus it is an aban number.