906989341888 has 112 divisors (see below), whose sum is σ = 2167874150400. Its totient is φ = 367793326080.

The previous prime is 906989341879. The next prime is 906989341897. The reversal of 906989341888 is 888143989609.

It is an interprime number because it is at equal distance from previous prime (906989341879) and next prime (906989341897).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 906989341888.

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 15 ways as a sum of consecutive naturals, for example, 6820353 + ... + 6952063.

It is an arithmetic number, because the mean of its divisors is an integer number (19356019200).

Almost surely, 2^906989341888 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 906989341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083937075200).

906989341888 is an abundant number, since it is smaller than the sum of its proper divisors (1260884808512).

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

906989341888 is a wasteful number, since it uses less digits than its factorization.

906989341888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132558 (or 132548 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 73.

The spelling of 906989341888 in words is "nine hundred six billion, nine hundred eighty-nine million, three hundred forty-one thousand, eight hundred eighty-eight".