11364412816 has 45 divisors (see below), whose sum is σ = 22828832481. Its totient is φ = 5480298432.

The previous prime is 11364412793. The next prime is 11364412817. The reversal of 11364412816 is 61821446311.

The square root of 11364412816 is 106604.

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

11364412816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5959222416 + 5405190400 = 77196^2 + 73520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11364412817) 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 8 ways as a sum of consecutive naturals, for example, 12365605 + ... + 12366523.

Almost surely, 2^11364412816 is an apocalyptic number.

11364412816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11364412816 is the 106604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364412816

11364412816 is an abundant number, since it is smaller than the sum of its proper divisors (11464419665).

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

11364412816 is an frugal number, since it uses more digits than its factorization.

11364412816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 950 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The spelling of 11364412816 in words is "eleven billion, three hundred sixty-four million, four hundred twelve thousand, eight hundred sixteen".