13776063638544 has 405 divisors, whose sum is σ = 41440650587037. Its totient is φ = 4271501246976.

The previous prime is 13776063638479. The next prime is 13776063638593. The reversal of 13776063638544 is 44583636067731.

The square root of 13776063638544 is 3711612.

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

13776063638544 is a `hidden beast` number, since 13 + 7 + 7 + 606 + 3 + 6 + 3 + 8 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7819964816400 + 5956098822144 = 2796420^2 + 2440512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61776070017 + ... + 61776070239.

Almost surely, 2^{13776063638544} is an apocalyptic number.

13776063638544 is the 3711612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13776063638544

13776063638544 is an abundant number, since it is smaller than the sum of its proper divisors (27664586948493).

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

13776063638544 is an equidigital number, since it uses as much as digits as its factorization.

13776063638544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 13776063638544 in words is "thirteen trillion, seven hundred seventy-six billion, sixty-three million, six hundred thirty-eight thousand, five hundred forty-four".