9789414912 has 180 divisors, whose sum is σ = 30016694136. Its totient is φ = 3070771200.

The previous prime is 9789414863. The next prime is 9789414941. The reversal of 9789414912 is 2194149879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1328037 + ... + 1335387.

Almost surely, 2^9789414912 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 9789414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008347068).

9789414912 is an abundant number, since it is smaller than the sum of its proper divisors (20227279224).

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

9789414912 is a wasteful number, since it uses less digits than its factorization.

9789414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7373 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 9789414912 is about 98941.4721539962. The cubic root of 9789414912 is about 2139.2042133862.

The spelling of 9789414912 in words is "nine billion, seven hundred eighty-nine million, four hundred fourteen thousand, nine hundred twelve".