13855189729536 has 135 divisors (see below), whose sum is σ = 41315267127981. Its totient is φ = 4618217908224.

The previous prime is 13855189729531. The next prime is 13855189729561. The reversal of 13855189729536 is 63592798155831.

The square root of 13855189729536 is 3722256.

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

13855189729536 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 5 + 1 + 89 + 7 + 2 + 9 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 180577403136 + 13674612326400 = 424944^2 + 3697920^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13855189729531) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 535991940 + ... + 536017788.

Almost surely, 2^{13855189729536} is an apocalyptic number.

13855189729536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13855189729536 is the 3722256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13855189729536

13855189729536 is an abundant number, since it is smaller than the sum of its proper divisors (27460077398445).

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

13855189729536 is an frugal number, since it uses more digits than its factorization.

13855189729536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51726 (or 25854 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 13855189729536 in words is "thirteen trillion, eight hundred fifty-five billion, one hundred eighty-nine million, seven hundred twenty-nine thousand, five hundred thirty-six".