9145890816 has 144 divisors (see below), whose sum is σ = 25211277000. Its totient is φ = 2948382720.

The previous prime is 9145890797. The next prime is 9145890827. The reversal of 9145890816 is 6180985419.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5903610 + ... + 5905158.

Almost surely, 2^9145890816 is an apocalyptic number.

9145890816 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 9145890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605638500).

9145890816 is an abundant number, since it is smaller than the sum of its proper divisors (16065386184).

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

9145890816 is a wasteful number, since it uses less digits than its factorization.

9145890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 9145890816 is about 95634.1508876406. The cubic root of 9145890816 is about 2091.2630824210.

The spelling of 9145890816 in words is "nine billion, one hundred forty-five million, eight hundred ninety thousand, eight hundred sixteen".