1113936768 has 192 divisors, whose sum is σ = 3700494720. Its totient is φ = 315048960.

The previous prime is 1113936767. The next prime is 1113936773. The reversal of 1113936768 is 8676393111.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113936767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 862203 + ... + 863493.

It is an arithmetic number, because the mean of its divisors is an integer number (19273410).

Almost surely, 2^1113936768 is an apocalyptic number.

1113936768 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 1113936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850247360).

1113936768 is an abundant number, since it is smaller than the sum of its proper divisors (2586557952).

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

1113936768 is a wasteful number, since it uses less digits than its factorization.

1113936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1410 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1113936768 is about 33375.6912737399. The cubic root of 1113936768 is about 1036.6214227189.

The spelling of 1113936768 in words is "one billion, one hundred thirteen million, nine hundred thirty-six thousand, seven hundred sixty-eight".