1338273076224 has 352 divisors, whose sum is σ = 4232585502720. Its totient is φ = 367825747968.

The previous prime is 1338273076213. The next prime is 1338273076291. The reversal of 1338273076224 is 4226703728331.

It is a super-3 number, since 3×1338273076224³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 176479537 + ... + 176487119.

Almost surely, 2^{1338273076224} is an apocalyptic number.

1338273076224 is a gapful number since it is divisible by the number (14) 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 1338273076224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116292751360).

1338273076224 is an abundant number, since it is smaller than the sum of its proper divisors (2894312426496).

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

1338273076224 is a wasteful number, since it uses less digits than its factorization.

1338273076224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 1338273076224 in words is "one trillion, three hundred thirty-eight billion, two hundred seventy-three million, seventy-six thousand, two hundred twenty-four".