1144105644 has 192 divisors, whose sum is σ = 3218890752. Its totient is φ = 312345600.

The previous prime is 1144105637. The next prime is 1144105657. The reversal of 1144105644 is 4465014411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6850849 + ... + 6851015.

It is an arithmetic number, because the mean of its divisors is an integer number (16765056).

Almost surely, 2^1144105644 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 1144105644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609445376).

1144105644 is an abundant number, since it is smaller than the sum of its proper divisors (2074785108).

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

1144105644 is a wasteful number, since it uses less digits than its factorization.

1144105644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1144105644 is about 33824.6307296916. The cubic root of 1144105644 is about 1045.8964992090.

The spelling of 1144105644 in words is "one billion, one hundred forty-four million, one hundred five thousand, six hundred forty-four".