1129791168 has 252 divisors, whose sum is σ = 3758851512. Its totient is φ = 321699840.

The previous prime is 1129791149. The next prime is 1129791191. The reversal of 1129791168 is 8611979211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1830796 + ... + 1831412.

Almost surely, 2^1129791168 is an apocalyptic number.

1129791168 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 1129791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879425756).

1129791168 is an abundant number, since it is smaller than the sum of its proper divisors (2629060344).

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

1129791168 is a wasteful number, since it uses less digits than its factorization.

1129791168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 650 counting only the distinct ones).

The product of its digits is 54432, while the sum is 45.

The square root of 1129791168 is about 33612.3662957549. The cubic root of 1129791168 is about 1041.5162695406.

It can be divided in two parts, 1129 and 791168, that added together give a palindrome (792297).

The spelling of 1129791168 in words is "one billion, one hundred twenty-nine million, seven hundred ninety-one thousand, one hundred sixty-eight".