1338506534304 has 288 divisors, whose sum is σ = 3917214362880. Its totient is φ = 433336780800.

The previous prime is 1338506534303. The next prime is 1338506534329. The reversal of 1338506534304 is 4034356058331.

It is a happy number.

1338506534304 is a `hidden beast` number, since 1 + 3 + 3 + 85 + 0 + 6 + 534 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1338506534304.

It is not an unprimeable number, because it can be changed into a prime (1338506534303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1887879102 + ... + 1887879810.

It is an arithmetic number, because the mean of its divisors is an integer number (13601438760).

Almost surely, 2^{1338506534304} 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 1338506534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958607181440).

1338506534304 is an abundant number, since it is smaller than the sum of its proper divisors (2578707828576).

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

1338506534304 is a wasteful number, since it uses less digits than its factorization.

1338506534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 1338506534304 in words is "one trillion, three hundred thirty-eight billion, five hundred six million, five hundred thirty-four thousand, three hundred four".