1144506384 has 120 divisors (see below), whose sum is σ = 3674715200. Its totient is φ = 325741824.

The previous prime is 1144506379. The next prime is 1144506403. The reversal of 1144506384 is 4836054411.

1144506384 is a `hidden beast` number, since 1 + 14 + 4 + 5 + 0 + 638 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 277167 + ... + 281265.

Almost surely, 2^1144506384 is an apocalyptic number.

1144506384 is a gapful number since it is divisible by the number (14) 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 1144506384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837357600).

1144506384 is an abundant number, since it is smaller than the sum of its proper divisors (2530208816).

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

1144506384 is a wasteful number, since it uses less digits than its factorization.

1144506384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1144506384 is about 33830.5540007846. The cubic root of 1144506384 is about 1046.0185985503.

It can be divided in two parts, 1144 and 506384, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 1144506384 in words is "one billion, one hundred forty-four million, five hundred six thousand, three hundred eighty-four".