11045169216 has 189 divisors, whose sum is σ = 33006896013. Its totient is φ = 3531225600.

The previous prime is 11045169209. The next prime is 11045169217. The reversal of 11045169216 is 61296154011.

The square root of 11045169216 is 105096.

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

11045169216 is a `hidden beast` number, since 110 + 4 + 516 + 9 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5791818816 + 5253350400 = 76104^2 + 72480^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11045169217) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73146741 + ... + 73146891.

Almost surely, 2^11045169216 is an apocalyptic number.

11045169216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11045169216 is the 105096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11045169216

11045169216 is an abundant number, since it is smaller than the sum of its proper divisors (21961726797).

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

11045169216 is an equidigital number, since it uses as much as digits as its factorization.

11045169216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 11045169216 by its sum of digits (36), we get a square (397626091776 = 630576²).

11045169216 divided by its sum of digits (36) gives a square (306810256 = 17516²).

The spelling of 11045169216 in words is "eleven billion, forty-five million, one hundred sixty-nine thousand, two hundred sixteen".