1116276768 has 192 divisors, whose sum is σ = 3413975040. Its totient is φ = 354412800.

The previous prime is 1116276767. The next prime is 1116276781. The reversal of 1116276768 is 8676726111.

1116276768 is a `hidden beast` number, since 1 + 11 + 627 + 6 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1116276767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901371 + ... + 1901957.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2^1116276768 is an apocalyptic number.

1116276768 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 1116276768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706987520).

1116276768 is an abundant number, since it is smaller than the sum of its proper divisors (2297698272).

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

1116276768 is a wasteful number, since it uses less digits than its factorization.

1116276768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 694 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1116276768 is about 33410.7283368681. The cubic root of 1116276768 is about 1037.3467773532.

The spelling of 1116276768 in words is "one billion, one hundred sixteen million, two hundred seventy-six thousand, seven hundred sixty-eight".