1144815984 has 160 divisors (see below), whose sum is σ = 3693096960. Its totient is φ = 336897792.

The previous prime is 1144815983. The next prime is 1144816027. The reversal of 1144815984 is 4895184411.

1144815984 is a `hidden beast` number, since 1 + 14 + 48 + 1 + 598 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144815983) 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 31 ways as a sum of consecutive naturals, for example, 124737 + ... + 133599.

It is an arithmetic number, because the mean of its divisors is an integer number (23081856).

Almost surely, 2^1144815984 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 1144815984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846548480).

1144815984 is an abundant number, since it is smaller than the sum of its proper divisors (2548280976).

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

1144815984 is a wasteful number, since it uses less digits than its factorization.

1144815984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916 (or 8904 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 1144815984 is about 33835.1294367260. The cubic root of 1144815984 is about 1046.1129094153.

The spelling of 1144815984 in words is "one billion, one hundred forty-four million, eight hundred fifteen thousand, nine hundred eighty-four".