9090728369316 has 288 divisors, whose sum is σ = 27175205191680. Its totient is φ = 2632149561600.

The previous prime is 9090728369297. The next prime is 9090728369357. The reversal of 9090728369316 is 6139638270909.

9090728369316 is a `hidden beast` number, since 90 + 90 + 72 + 8 + 369 + 31 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26011120 + ... + 26358296.

It is an arithmetic number, because the mean of its divisors is an integer number (94358351360).

Almost surely, 2^{9090728369316} 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 9090728369316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587602595840).

9090728369316 is an abundant number, since it is smaller than the sum of its proper divisors (18084476822364).

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

9090728369316 is a wasteful number, since it uses less digits than its factorization.

9090728369316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347317 (or 347303 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 9090728369316 in words is "nine trillion, ninety billion, seven hundred twenty-eight million, three hundred sixty-nine thousand, three hundred sixteen".