1338624318385 has 16 divisors (see below), whose sum is σ = 1622997560016. Its totient is φ = 1059801735168.

The previous prime is 1338624318359. The next prime is 1338624318391. The reversal of 1338624318385 is 5838134268331.

It can be written as a sum of positive squares in 8 ways, for example, as 292160789361 + 1046463529024 = 540519^2 + 1022968^2 .

It is a cyclic number.

It is not a de Polignac number, because 1338624318385 - 2²⁵ = 1338590763953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10371609 + ... + 10499881.

It is an arithmetic number, because the mean of its divisors is an integer number (101437347501).

Almost surely, 2^{1338624318385} is an apocalyptic number.

It is an amenable number.

1338624318385 is a deficient number, since it is larger than the sum of its proper divisors (284373241631).

1338624318385 is a wasteful number, since it uses less digits than its factorization.

1338624318385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149892.

The product of its digits is 9953280, while the sum is 55.

The spelling of 1338624318385 in words is "one trillion, three hundred thirty-eight billion, six hundred twenty-four million, three hundred eighteen thousand, three hundred eighty-five".