9609249914880 has 3072 divisors, whose sum is σ = 43377165619200. Its totient is φ = 1787591393280.

The previous prime is 9609249914843. The next prime is 9609249914893. The reversal of 9609249914880 is 884199429069.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115774095319 + ... + 115774095401.

It is an arithmetic number, because the mean of its divisors is an integer number (14120171100).

Almost surely, 2^{9609249914880} 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 9609249914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688582809600).

9609249914880 is an abundant number, since it is smaller than the sum of its proper divisors (33767915704320).

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

9609249914880 is a wasteful number, since it uses less digits than its factorization.

9609249914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 69.

The spelling of 9609249914880 in words is "nine trillion, six hundred nine billion, two hundred forty-nine million, nine hundred fourteen thousand, eight hundred eighty".