11434359168 has 224 divisors, whose sum is σ = 34353296040. Its totient is φ = 3789213696.

The previous prime is 11434359151. The next prime is 11434359179. The reversal of 11434359168 is 86195343411.

11434359168 is a `hidden beast` number, since 1 + 1 + 434 + 3 + 59 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26407080 + ... + 26407512.

Almost surely, 2^11434359168 is an apocalyptic number.

11434359168 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 11434359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176648020).

11434359168 is an abundant number, since it is smaller than the sum of its proper divisors (22918936872).

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

11434359168 is an frugal number, since it uses more digits than its factorization.

11434359168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 721 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 11434359168 in words is "eleven billion, four hundred thirty-four million, three hundred fifty-nine thousand, one hundred sixty-eight".