13848088575204 has 891 divisors, whose sum is σ = 42926423764329. Its totient is φ = 3906473987520.

The previous prime is 13848088575199. The next prime is 13848088575239. The reversal of 13848088575204 is 40257588084831.

The square root of 13848088575204 is 3721302.

It is a perfect power (a square), and thus also a powerful number.

13848088575204 is a `hidden beast` number, since 1 + 3 + 8 + 480 + 8 + 85 + 75 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2048533812900 + 11799554762304 = 1431270^2 + 3435048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 446712534669 + ... + 446712534699.

Almost surely, 2^{13848088575204} is an apocalyptic number.

13848088575204 is the 3721302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13848088575204

13848088575204 is an abundant number, since it is smaller than the sum of its proper divisors (29078335189125).

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

13848088575204 is an equidigital number, since it uses as much as digits as its factorization.

13848088575204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 13848088575204 in words is "thirteen trillion, eight hundred forty-eight billion, eighty-eight million, five hundred seventy-five thousand, two hundred four".