11126356416 has 84 divisors (see below), whose sum is σ = 36447660912. Its totient is φ = 3178957824.

The previous prime is 11126356391. The next prime is 11126356429. The reversal of 11126356416 is 61465362111.

11126356416 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 6 + 3 + 5 + 641 + 6 = 666.

11126356416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1375725 + ... + 1383788.

Almost surely, 2^11126356416 is an apocalyptic number.

11126356416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11126356416 is an abundant number, since it is smaller than the sum of its proper divisors (25321304496).

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

11126356416 is a wasteful number, since it uses less digits than its factorization.

11126356416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759538 (or 2759525 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11126356416 in words is "eleven billion, one hundred twenty-six million, three hundred fifty-six thousand, four hundred sixteen".