9090151168 has 72 divisors (see below), whose sum is σ = 20787888800. Its totient is φ = 3886202880.

The previous prime is 9090151163. The next prime is 9090151199. The reversal of 9090151168 is 8611510909.

It is a self number, because there is not a number n which added to its sum of digits gives 9090151168.

It is not an unprimeable number, because it can be changed into a prime (9090151163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748408 + ... + 760456.

Almost surely, 2^9090151168 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 9090151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393944400).

9090151168 is an abundant number, since it is smaller than the sum of its proper divisors (11697737632).

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

9090151168 is a wasteful number, since it uses less digits than its factorization.

9090151168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 40.

The square root of 9090151168 is about 95342.2842604476. The cubic root of 9090151168 is about 2087.0060202447.

The spelling of 9090151168 in words is "nine billion, ninety million, one hundred fifty-one thousand, one hundred sixty-eight".