13111166016 has 189 divisors, whose sum is σ = 40805176581. Its totient is φ = 4023212544.

The previous prime is 13111165997. The next prime is 13111166053. The reversal of 13111166016 is 61066111131.

The square root of 13111166016 is 114504.

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

13111166016 is a `hidden beast` number, since 1 + 31 + 11 + 16 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1939521600 + 11171644416 = 44040^2 + 105696^2 .

It is a super-2 number, since 2×13111166016² (a number of 21 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 35725065 + ... + 35725431.

Almost surely, 2^13111166016 is an apocalyptic number.

13111166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13111166016 is the 114504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111166016

13111166016 is an abundant number, since it is smaller than the sum of its proper divisors (27694010565).

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

13111166016 is an equidigital number, since it uses as much as digits as its factorization.

13111166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 13111166016 its reverse (61066111131), we get a palindrome (74177277147).

The spelling of 13111166016 in words is "thirteen billion, one hundred eleven million, one hundred sixty-six thousand, sixteen".