990945800208 has 960 divisors, whose sum is σ = 3805376440320. Its totient is φ = 242205106176.

The previous prime is 990945800189. The next prime is 990945800209. The reversal of 990945800208 is 802008549099.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (990945800209) 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 191 ways as a sum of consecutive naturals, for example, 402986083 + ... + 402988541.

It is an arithmetic number, because the mean of its divisors is an integer number (3963933792).

Almost surely, 2^990945800208 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 990945800208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902688220160).

990945800208 is an abundant number, since it is smaller than the sum of its proper divisors (2814430640112).

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

990945800208 is a wasteful number, since it uses less digits than its factorization.

990945800208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 990945800208 in words is "nine hundred ninety billion, nine hundred forty-five million, eight hundred thousand, two hundred eight".