989409693888 has 672 divisors, whose sum is σ = 3606443343360. Its totient is φ = 251890974720.

The previous prime is 989409693851. The next prime is 989409693907. The reversal of 989409693888 is 888396904989.

989409693888 is a `hidden beast` number, since 98 + 94 + 0 + 9 + 69 + 388 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 692378358 + ... + 692379786.

Almost surely, 2^989409693888 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 989409693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803221671680).

989409693888 is an abundant number, since it is smaller than the sum of its proper divisors (2617033649472).

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

989409693888 is a wasteful number, since it uses less digits than its factorization.

989409693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1934917632, while the sum is 81.

The spelling of 989409693888 in words is "nine hundred eighty-nine billion, four hundred nine million, six hundred ninety-three thousand, eight hundred eighty-eight".