981181644800 has 1080 divisors, whose sum is σ = 3112665776640. Its totient is φ = 304703078400.

The previous prime is 981181644791. The next prime is 981181644847. The reversal of 981181644800 is 8446181189.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11821465559 + ... + 11821465641.

Almost surely, 2^981181644800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981181644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556332888320).

981181644800 is an abundant number, since it is smaller than the sum of its proper divisors (2131484131840).

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

981181644800 is a wasteful number, since it uses less digits than its factorization.

981181644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 50.

The spelling of 981181644800 in words is "nine hundred eighty-one billion, one hundred eighty-one million, six hundred forty-four thousand, eight hundred".