1116115434 has 144 divisors (see below), whose sum is σ = 3016735488. Its totient is φ = 296581824.

The previous prime is 1116115417. The next prime is 1116115463. The reversal of 1116115434 is 4345116111.

1116115434 is a `hidden beast` number, since 1 + 1 + 1 + 611 + 5 + 43 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1116115398 and 1116115407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 749839 + ... + 751325.

It is an arithmetic number, because the mean of its divisors is an integer number (20949552).

Almost surely, 2^1116115434 is an apocalyptic number.

1116115434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116115434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508367744).

1116115434 is an abundant number, since it is smaller than the sum of its proper divisors (1900620054).

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

1116115434 is a wasteful number, since it uses less digits than its factorization.

1116115434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1559 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 1116115434 is about 33408.3138455086. The cubic root of 1116115434 is about 1037.2967994943.

The spelling of 1116115434 in words is "one billion, one hundred sixteen million, one hundred fifteen thousand, four hundred thirty-four".