1144784896 has 96 divisors (see below), whose sum is σ = 2451889440. Its totient is φ = 532480000.

The previous prime is 1144784891. The next prime is 1144784917. The reversal of 1144784896 is 6984874411.

It is not an unprimeable number, because it can be changed into a prime (1144784891) 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 7 ways as a sum of consecutive naturals, for example, 4560771 + ... + 4561021.

It is an arithmetic number, because the mean of its divisors is an integer number (25540515).

Almost surely, 2^1144784896 is an apocalyptic number.

1144784896 is a gapful number since it is divisible by the number (16) 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 1144784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225944720).

1144784896 is an abundant number, since it is smaller than the sum of its proper divisors (1307104544).

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

1144784896 is a wasteful number, since it uses less digits than its factorization.

1144784896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The square root of 1144784896 is about 33834.6700294240. The cubic root of 1144784896 is about 1046.1034401053.

The spelling of 1144784896 in words is "one billion, one hundred forty-four million, seven hundred eighty-four thousand, eight hundred ninety-six".