445298101216800 has 432 divisors, whose sum is σ = 1585698447866400. Its totient is φ = 108481811742720.

The previous prime is 445298101216763. The next prime is 445298101216807. The reversal of 445298101216800 is 8612101892544.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (445298101216807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33684051 + ... + 45002349.

It is an arithmetic number, because the mean of its divisors is an integer number (3670598258950).

Almost surely, 2^{445298101216800} is an apocalyptic number.

445298101216800 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 445298101216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792849223933200).

445298101216800 is an abundant number, since it is smaller than the sum of its proper divisors (1140400346649600).

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

445298101216800 is a wasteful number, since it uses less digits than its factorization.

445298101216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318445 (or 11318419 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 445298101216800 in words is "four hundred forty-five trillion, two hundred ninety-eight billion, one hundred one million, two hundred sixteen thousand, eight hundred".