11736818217216 has 405 divisors, whose sum is σ = 36024524486181. Its totient is φ = 3800615675904.

The previous prime is 11736818217161. The next prime is 11736818217433. The reversal of 11736818217216 is 61271281863711.

It is a happy number.

The square root of 11736818217216 is 3425904.

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

It can be written as a sum of positive squares in only one way, i.e., 10502266118400 + 1234552098816 = 3240720^2 + 1111104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 18253216191 + ... + 18253216833.

Almost surely, 2^{11736818217216} is an apocalyptic number.

11736818217216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11736818217216 is the 3425904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11736818217216

11736818217216 is an abundant number, since it is smaller than the sum of its proper divisors (24287706268965).

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

11736818217216 is an frugal number, since it uses more digits than its factorization.

11736818217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 685 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 11736818217216 in words is "eleven trillion, seven hundred thirty-six billion, eight hundred eighteen million, two hundred seventeen thousand, two hundred sixteen".