989967346368 has 896 divisors, whose sum is σ = 3705431654400. Its totient is φ = 229630464000.

The previous prime is 989967346273. The next prime is 989967346369. The reversal of 989967346368 is 863643769989.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 989967346293 and 989967346302.

It is not an unprimeable number, because it can be changed into a prime (989967346369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291937953 + ... + 291941343.

It is an arithmetic number, because the mean of its divisors is an integer number (4135526400).

Almost surely, 2^989967346368 is an apocalyptic number.

989967346368 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989967346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852715827200).

989967346368 is an abundant number, since it is smaller than the sum of its proper divisors (2715464308032).

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

989967346368 is a wasteful number, since it uses less digits than its factorization.

989967346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3458 counting only the distinct ones).

The product of its digits is 2539579392, while the sum is 78.

The spelling of 989967346368 in words is "nine hundred eighty-nine billion, nine hundred sixty-seven million, three hundred forty-six thousand, three hundred sixty-eight".