11142812169216 has 2112 divisors, whose sum is σ = 42820334242560. Its totient is φ = 2871417765888.

The previous prime is 11142812169193. The next prime is 11142812169233. The reversal of 11142812169216 is 61296121824111.

11142812169216 is a `hidden beast` number, since 1 + 1 + 1 + 428 + 1 + 2 + 1 + 6 + 9 + 216 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104138431435 + ... + 104138431541.

Almost surely, 2^{11142812169216} is an apocalyptic number.

11142812169216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142812169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410167121280).

11142812169216 is an abundant number, since it is smaller than the sum of its proper divisors (31677522073344).

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

11142812169216 is an equidigital number, since it uses as much as digits as its factorization.

11142812169216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 205 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 11142812169216 in words is "eleven trillion, one hundred forty-two billion, eight hundred twelve million, one hundred sixty-nine thousand, two hundred sixteen".