1338273144 has 192 divisors, whose sum is σ = 4098175200. Its totient is φ = 404352000.

The previous prime is 1338273137. The next prime is 1338273149. The reversal of 1338273144 is 4413728331.

1338273144 is a `hidden beast` number, since 1 + 338 + 2 + 7 + 314 + 4 = 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 = 1338273099 and 1338273108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338273149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2226444 + ... + 2227044.

Almost surely, 2^1338273144 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 1338273144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049087600).

1338273144 is an abundant number, since it is smaller than the sum of its proper divisors (2759902056).

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

1338273144 is a wasteful number, since it uses less digits than its factorization.

1338273144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 680 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1338273144 is about 36582.4157758888. The cubic root of 1338273144 is about 1101.9999824331. Note that the first 4 decimals are identical.

The spelling of 1338273144 in words is "one billion, three hundred thirty-eight million, two hundred seventy-three thousand, one hundred forty-four".