981949369800 has 384 divisors, whose sum is σ = 3548463240960. Its totient is φ = 219967488000.

The previous prime is 981949369787. The next prime is 981949369811. The reversal of 981949369800 is 8963949189.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 267340764 + ... + 267344436.

It is an arithmetic number, because the mean of its divisors is an integer number (9240789690).

Almost surely, 2^981949369800 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 981949369800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774231620480).

981949369800 is an abundant number, since it is smaller than the sum of its proper divisors (2566513871160).

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

981949369800 is a wasteful number, since it uses less digits than its factorization.

981949369800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 981949369800 in words is "nine hundred eighty-one billion, nine hundred forty-nine million, three hundred sixty-nine thousand, eight hundred".