445006755536200 has 768 divisors, whose sum is σ = 1280858499809280. Its totient is φ = 141571584000000.

The previous prime is 445006755536149. The next prime is 445006755536227. The reversal of 445006755536200 is 2635557600544.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9505215192 + ... + 9505262008.

It is an arithmetic number, because the mean of its divisors is an integer number (1667784504960).

Almost surely, 2^{445006755536200} is an apocalyptic number.

445006755536200 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 445006755536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640429249904640).

445006755536200 is an abundant number, since it is smaller than the sum of its proper divisors (835851744273080).

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

445006755536200 is a wasteful number, since it uses less digits than its factorization.

445006755536200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47110 (or 47101 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 52.

The spelling of 445006755536200 in words is "four hundred forty-five trillion, six billion, seven hundred fifty-five million, five hundred thirty-six thousand, two hundred".