11134126368 has 144 divisors (see below), whose sum is σ = 33373824120. Its totient is φ = 3515645952.

The previous prime is 11134126363. The next prime is 11134126403. The reversal of 11134126368 is 86362143111.

11134126368 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 12 + 636 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10499691024 + 634435344 = 102468^2 + 25188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×11134126368⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11134126363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430080 + ... + 455232.

Almost surely, 2^11134126368 is an apocalyptic number.

11134126368 is a gapful number since it is divisible by the number (18) 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 11134126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686912060).

11134126368 is an abundant number, since it is smaller than the sum of its proper divisors (22239697752).

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

11134126368 is a wasteful number, since it uses less digits than its factorization.

11134126368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25251 (or 25240 counting only the distinct ones).

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

Adding to 11134126368 its reverse (86362143111), we get a palindrome (97496269479).

The spelling of 11134126368 in words is "eleven billion, one hundred thirty-four million, one hundred twenty-six thousand, three hundred sixty-eight".