9090918000 has 120 divisors (see below), whose sum is σ = 31751609136. Its totient is φ = 2424240000.

The previous prime is 9090917993. The next prime is 9090918037. The reversal of 9090918000 is 8190909.

9090918000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 234526 + ... + 270525.

Almost surely, 2^9090918000 is an apocalyptic number.

9090918000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9090918000 is an abundant number, since it is smaller than the sum of its proper divisors (22660691136).

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

9090918000 is a wasteful number, since it uses less digits than its factorization.

9090918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505080 (or 505061 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 9090918000 is about 95346.3056442147. The cubic root of 9090918000 is about 2087.0647041973.

The spelling of 9090918000 in words is "nine billion, ninety million, nine hundred eighteen thousand".