1129992336 has 160 divisors (see below), whose sum is σ = 3553165440. Its totient is φ = 340992000.

The previous prime is 1129992317. The next prime is 1129992361. The reversal of 1129992336 is 6332999211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1129992291 and 1129992300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905256 + ... + 1905848.

It is an arithmetic number, because the mean of its divisors is an integer number (22207284).

Almost surely, 2^1129992336 is an apocalyptic number.

1129992336 is a gapful number since it is divisible by the number (16) 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 1129992336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776582720).

1129992336 is an abundant number, since it is smaller than the sum of its proper divisors (2423173104).

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

1129992336 is a wasteful number, since it uses less digits than its factorization.

1129992336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 1129992336 is about 33615.3586326251. The cubic root of 1129992336 is about 1041.5780825306.

The spelling of 1129992336 in words is "one billion, one hundred twenty-nine million, nine hundred ninety-two thousand, three hundred thirty-six".