1119144768 has 112 divisors (see below), whose sum is σ = 3414491520. Its totient is φ = 316882944.

The previous prime is 1119144727. The next prime is 1119144769. The reversal of 1119144768 is 8674419111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119144769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148188 + ... + 155556.

Almost surely, 2^1119144768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1119144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707245760).

1119144768 is an abundant number, since it is smaller than the sum of its proper divisors (2295346752).

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

1119144768 is a wasteful number, since it uses less digits than its factorization.

1119144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7494 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 1119144768 is about 33453.6211492867. The cubic root of 1119144768 is about 1038.2344204938.

The spelling of 1119144768 in words is "one billion, one hundred nineteen million, one hundred forty-four thousand, seven hundred sixty-eight".