1144753344 has 448 divisors, whose sum is σ = 4301337600. Its totient is φ = 290635776.

The previous prime is 1144753339. The next prime is 1144753349. The reversal of 1144753344 is 4433574411.

1144753344 is a `hidden beast` number, since 114 + 4 + 7 + 533 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1144753339) and next prime (1144753349).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 1144753299 and 1144753308.

It is not an unprimeable number, because it can be changed into a prime (1144753349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906862 + ... + 3907154.

It is an arithmetic number, because the mean of its divisors is an integer number (9601200).

Almost surely, 2^1144753344 is an apocalyptic number.

1144753344 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 1144753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150668800).

1144753344 is an abundant number, since it is smaller than the sum of its proper divisors (3156584256).

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

1144753344 is a wasteful number, since it uses less digits than its factorization.

1144753344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 1144753344 is about 33834.2037589183. The cubic root of 1144753344 is about 1046.0938292870.

The spelling of 1144753344 in words is "one billion, one hundred forty-four million, seven hundred fifty-three thousand, three hundred forty-four".