1144336416 has 48 divisors (see below), whose sum is σ = 3048734304. Its totient is φ = 375750144.

The previous prime is 1144336381. The next prime is 1144336429. The reversal of 1144336416 is 6146334411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82525 + ... + 95388.

It is an arithmetic number, because the mean of its divisors is an integer number (63515298).

Almost surely, 2^1144336416 is an apocalyptic number.

1144336416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1144336416 is an abundant number, since it is smaller than the sum of its proper divisors (1904397888).

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

1144336416 is a wasteful number, since it uses less digits than its factorization.

1144336416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177993 (or 177985 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 1144336416 is about 33828.0418587893. The cubic root of 1144336416 is about 1045.9668153847.

The spelling of 1144336416 in words is "one billion, one hundred forty-four million, three hundred thirty-six thousand, four hundred sixteen".