1045191168 has 240 divisors, whose sum is σ = 3601287360. Its totient is φ = 298432512.

The previous prime is 1045191163. The next prime is 1045191181. The reversal of 1045191168 is 8611915401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1045191163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676605 + ... + 678147.

It is an arithmetic number, because the mean of its divisors is an integer number (15005364).

Almost surely, 2^1045191168 is an apocalyptic number.

1045191168 is a gapful number since it is divisible by the number (18) 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 1045191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800643680).

1045191168 is an abundant number, since it is smaller than the sum of its proper divisors (2556096192).

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

1045191168 is an equidigital number, since it uses as much as digits as its factorization.

1045191168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1045191168 is about 32329.4164500382. The cubic root of 1045191168 is about 1014.8423377784.

The spelling of 1045191168 in words is "one billion, forty-five million, one hundred ninety-one thousand, one hundred sixty-eight".