1134817992 has 384 divisors, whose sum is σ = 4118169600. Its totient is φ = 281232000.

The previous prime is 1134817951. The next prime is 1134817993. The reversal of 1134817992 is 2997184311.

1134817992 is a `hidden beast` number, since 1 + 13 + 481 + 79 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1134817993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15983317 + ... + 15983387.

It is an arithmetic number, because the mean of its divisors is an integer number (10724400).

Almost surely, 2^1134817992 is an apocalyptic number.

1134817992 is a gapful number since it is divisible by the number (12) 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 1134817992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059084800).

1134817992 is an abundant number, since it is smaller than the sum of its proper divisors (2983351608).

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

1134817992 is a wasteful number, since it uses less digits than its factorization.

1134817992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 125 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1134817992 is about 33687.0597114085. The cubic root of 1134817992 is about 1043.0586705903.

The spelling of 1134817992 in words is "one billion, one hundred thirty-four million, eight hundred seventeen thousand, nine hundred ninety-two".