11213962816 has 189 divisors, whose sum is σ = 27193441041. Its totient is φ = 4574707200.

The previous prime is 11213962789. The next prime is 11213962831. The reversal of 11213962816 is 61826931211.

The square root of 11213962816 is 105896.

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

11213962816 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., 364657216 + 10849305600 = 19096^2 + 104160^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 183835426 + ... + 183835486.

Almost surely, 2^11213962816 is an apocalyptic number.

11213962816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11213962816 is the 105896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213962816

11213962816 is an abundant number, since it is smaller than the sum of its proper divisors (15979478225).

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

11213962816 is an frugal number, since it uses more digits than its factorization.

11213962816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 101 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The spelling of 11213962816 in words is "eleven billion, two hundred thirteen million, nine hundred sixty-two thousand, eight hundred sixteen".