16136481816576 has 675 divisors, whose sum is σ = 53157479800117. Its totient is φ = 4874417602560.

The previous prime is 16136481816569. The next prime is 16136481816607. The reversal of 16136481816576 is 67561818463161.

The square root of 16136481816576 is 4017024.

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

16136481816576 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 6 + 48 + 1 + 8 + 16 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 903260160000 + 15233221656576 = 950400^2 + 3902976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50903727970 + ... + 50903728286.

Almost surely, 2^{16136481816576} is an apocalyptic number.

16136481816576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16136481816576 is the 4017024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16136481816576

16136481816576 is an abundant number, since it is smaller than the sum of its proper divisors (37020997983541).

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

16136481816576 is an frugal number, since it uses more digits than its factorization.

16136481816576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 333 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 16136481816576 in words is "sixteen trillion, one hundred thirty-six billion, four hundred eighty-one million, eight hundred sixteen thousand, five hundred seventy-six".