9135286358016 has 1248 divisors, whose sum is σ = 31911150458880. Its totient is φ = 2271237636096.

The previous prime is 9135286357987. The next prime is 9135286358027. The reversal of 9135286358016 is 6108536825319.

It is a tau number, because it is divible by the number of its divisors (1248).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29756632935 + ... + 29756633241.

Almost surely, 2^{9135286358016} is an apocalyptic number.

9135286358016 is a gapful number since it is divisible by the number (96) 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 9135286358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955575229440).

9135286358016 is an abundant number, since it is smaller than the sum of its proper divisors (22775864100864).

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

9135286358016 is a wasteful number, since it uses less digits than its factorization.

9135286358016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 9135286358016 in words is "nine trillion, one hundred thirty-five billion, two hundred eighty-six million, three hundred fifty-eight thousand, sixteen".