11126431602216 has 96 divisors (see below), whose sum is σ = 34439427959040. Its totient is φ = 3178936796544.

The previous prime is 11126431602191. The next prime is 11126431602271. The reversal of 11126431602216 is 61220613462111.

11126431602216 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 6 + 4 + 31 + 602 + 2 + 16 = 666.

It is a super-2 number, since 2×11126431602216² (a number of 27 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 61138590 + ... + 61320306.

It is an arithmetic number, because the mean of its divisors is an integer number (358744041240).

Almost surely, 2^{11126431602216} is an apocalyptic number.

It is an amenable number.

11126431602216 is an abundant number, since it is smaller than the sum of its proper divisors (23312996356824).

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

11126431602216 is a wasteful number, since it uses less digits than its factorization.

11126431602216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303223 (or 303216 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11126431602216 in words is "eleven trillion, one hundred twenty-six billion, four hundred thirty-one million, six hundred two thousand, two hundred sixteen".