11110003216 has 45 divisors (see below), whose sum is σ = 23320324461. Its totient is φ = 5125164096.

The previous prime is 11110003199. The next prime is 11110003243. The reversal of 11110003216 is 61230001111.

The square root of 11110003216 is 105404.

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., 1643491600 + 9466511616 = 40540^2 + 97296^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11110003216.

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 8 ways as a sum of consecutive naturals, for example, 5479995 + ... + 5482021.

Almost surely, 2^11110003216 is an apocalyptic number.

11110003216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11110003216 is the 105404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110003216

11110003216 is an abundant number, since it is smaller than the sum of its proper divisors (12210321245).

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

11110003216 is an frugal number, since it uses more digits than its factorization.

11110003216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Multiplying 11110003216 by its sum of digits (16), we get a square (177760051456 = 421616²).

11110003216 divided by its sum of digits (16) gives a square (694375201 = 26351²).

Multiplying 11110003216 by its product of nonzero digits (36), we get a square (399960115776 = 632424²).

Adding to 11110003216 its reverse (61230001111), we get a palindrome (72340004327).

The spelling of 11110003216 in words is "eleven billion, one hundred ten million, three thousand, two hundred sixteen".