11193216804 has 243 divisors, whose sum is σ = 36336195441. Its totient is φ = 2894633280.

The previous prime is 11193216763. The next prime is 11193216833. The reversal of 11193216804 is 40861239111.

The square root of 11193216804 is 105798.

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., 10424818404 + 768398400 = 102102^2 + 27720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48878562 + ... + 48878790.

Almost surely, 2^11193216804 is an apocalyptic number.

11193216804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11193216804 is the 105798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11193216804

11193216804 is an abundant number, since it is smaller than the sum of its proper divisors (25142978637).

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

11193216804 is a wasteful number, since it uses less digits than its factorization.

11193216804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 11193216804 by its sum of digits (36), we get a square (402955804944 = 634788²).

11193216804 divided by its sum of digits (36) gives a square (310922689 = 17633²).

The spelling of 11193216804 in words is "eleven billion, one hundred ninety-three million, two hundred sixteen thousand, eight hundred four".