1144177344 has 126 divisors (see below), whose sum is σ = 3372933564. Its totient is φ = 370828800.

The previous prime is 1144177337. The next prime is 1144177393. The reversal of 1144177344 is 4437714411.

1144177344 is a `hidden beast` number, since 1 + 144 + 177 + 344 = 666.

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 = 1144177299 and 1144177308.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 787819 + ... + 789269.

It is an arithmetic number, because the mean of its divisors is an integer number (26769314).

Almost surely, 2^1144177344 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 1144177344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686466782).

1144177344 is an abundant number, since it is smaller than the sum of its proper divisors (2228756220).

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

1144177344 is a wasteful number, since it uses less digits than its factorization.

1144177344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1493 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 1144177344 is about 33825.6905916199. The cubic root of 1144177344 is about 1045.9183471950.

The spelling of 1144177344 in words is "one billion, one hundred forty-four million, one hundred seventy-seven thousand, three hundred forty-four".