989409864352 has 384 divisors, whose sum is σ = 2619921024000. Its totient is φ = 364171788288.

The previous prime is 989409864337. The next prime is 989409864361. The reversal of 989409864352 is 253468904989.

989409864352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×989409864352³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215884653 + ... + 215889235.

It is an arithmetic number, because the mean of its divisors is an integer number (6822711000).

Almost surely, 2^989409864352 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 989409864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309960512000).

989409864352 is an abundant number, since it is smaller than the sum of its proper divisors (1630511159648).

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

989409864352 is a wasteful number, since it uses less digits than its factorization.

989409864352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 67.

The spelling of 989409864352 in words is "nine hundred eighty-nine billion, four hundred nine million, eight hundred sixty-four thousand, three hundred fifty-two".