445301345500000 has 336 divisors, whose sum is σ = 1227777483309552. Its totient is φ = 157551264000000.

The previous prime is 445301345499979. The next prime is 445301345500013. The reversal of 445301345500000 is 5543103544.

It is a super-2 number, since 2×445301345500000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 202405894 + ... + 204594106.

It is an arithmetic number, because the mean of its divisors is an integer number (3654099652707).

Almost surely, 2^{445301345500000} is an apocalyptic number.

445301345500000 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 445301345500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613888741654776).

445301345500000 is an abundant number, since it is smaller than the sum of its proper divisors (782476137809552).

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

445301345500000 is an equidigital number, since it uses as much as digits as its factorization.

445301345500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188301 (or 2188268 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 445301345500000 its reverse (5543103544), we get a palindrome (445306888603544).

The spelling of 445301345500000 in words is "four hundred forty-five trillion, three hundred one billion, three hundred forty-five million, five hundred thousand".