9145890768 has 240 divisors, whose sum is σ = 29226462720. Its totient is φ = 2450310912.

The previous prime is 9145890739. The next prime is 9145890779. The reversal of 9145890768 is 8670985419.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4601871 + ... + 4603857.

It is an arithmetic number, because the mean of its divisors is an integer number (121776928).

Almost surely, 2^9145890768 is an apocalyptic number.

9145890768 is a gapful number since it is divisible by the number (98) 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 9145890768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613231360).

9145890768 is an abundant number, since it is smaller than the sum of its proper divisors (20080571952).

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

9145890768 is a wasteful number, since it uses less digits than its factorization.

9145890768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 9145890768 is about 95634.1506366842. The cubic root of 9145890768 is about 2091.2630787625.

The spelling of 9145890768 in words is "nine billion, one hundred forty-five million, eight hundred ninety thousand, seven hundred sixty-eight".