13875348002538 has 64 divisors (see below), whose sum is σ = 31097995868160. Its totient is φ = 4090181832000.

The previous prime is 13875348002441. The next prime is 13875348002567. The reversal of 13875348002538 is 83520084357831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11516523 + ... + 12664161.

It is an arithmetic number, because the mean of its divisors is an integer number (485906185440).

Almost surely, 2^{13875348002538} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13875348002538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15548997934080).

13875348002538 is an abundant number, since it is smaller than the sum of its proper divisors (17222647865622).

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

13875348002538 is a wasteful number, since it uses less digits than its factorization.

13875348002538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152643.

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 13875348002538 in words is "thirteen trillion, eight hundred seventy-five billion, three hundred forty-eight million, two thousand, five hundred thirty-eight".