918446221440000 has 7040 divisors, whose sum is σ = 4145506083417600. Its totient is φ = 202330275840000.

The previous prime is 918446221439947. The next prime is 918446221440001. The reversal of 918446221440000 is 44122644819.

918446221440000 is a `hidden beast` number, since 9 + 1 + 8 + 4 + 4 + 622 + 14 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918446221440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 31670559359986 + ... + 31670559360014.

It is an arithmetic number, because the mean of its divisors is an integer number (588850295940).

Almost surely, 2^{918446221440000} is an apocalyptic number.

918446221440000 is a gapful number since it is divisible by the number (90) 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 918446221440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072753041708800).

918446221440000 is an abundant number, since it is smaller than the sum of its proper divisors (3227059861977600).

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

918446221440000 is an frugal number, since it uses more digits than its factorization.

918446221440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 918446221440000 in words is "nine hundred eighteen trillion, four hundred forty-six billion, two hundred twenty-one million, four hundred forty thousand".