1338345144 has 96 divisors (see below), whose sum is σ = 3805401600. Its totient is φ = 424365120.

The previous prime is 1338345133. The next prime is 1338345187. The reversal of 1338345144 is 4415438331.

1338345144 is a `hidden beast` number, since 133 + 8 + 3 + 4 + 514 + 4 = 666.

1338345144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1338345099 and 1338345108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126607 + ... + 136769.

It is an arithmetic number, because the mean of its divisors is an integer number (39639600).

Almost surely, 2^1338345144 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 1338345144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902700800).

1338345144 is an abundant number, since it is smaller than the sum of its proper divisors (2467056456).

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

1338345144 is a wasteful number, since it uses less digits than its factorization.

1338345144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10265 (or 10258 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1338345144 is about 36583.3998420048. The cubic root of 1338345144 is about 1102.0197448601.

The spelling of 1338345144 in words is "one billion, three hundred thirty-eight million, three hundred forty-five thousand, one hundred forty-four".