1144348416 has 108 divisors (see below), whose sum is σ = 3473226120. Its totient is φ = 361359360.

The previous prime is 1144348411. The next prime is 1144348441. The reversal of 1144348416 is 6148434411.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144348411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30706 + ... + 56846.

Almost surely, 2^1144348416 is an apocalyptic number.

1144348416 is a gapful number since it is divisible by the number (16) 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 1144348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736613060).

1144348416 is an abundant number, since it is smaller than the sum of its proper divisors (2328877704).

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

1144348416 is a wasteful number, since it uses less digits than its factorization.

1144348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26182 (or 26165 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1144348416 is about 33828.2192259658. The cubic root of 1144348416 is about 1045.9704715234.

The spelling of 1144348416 in words is "one billion, one hundred forty-four million, three hundred forty-eight thousand, four hundred sixteen".