11434791168 has 288 divisors, whose sum is σ = 35111014400. Its totient is φ = 3668281344.

The previous prime is 11434791131. The next prime is 11434791191. The reversal of 11434791168 is 86119743411.

11434791168 is a `hidden beast` number, since 1 + 14 + 3 + 479 + 1 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23479821 + ... + 23480307.

Almost surely, 2^11434791168 is an apocalyptic number.

11434791168 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 11434791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555507200).

11434791168 is an abundant number, since it is smaller than the sum of its proper divisors (23676223232).

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

11434791168 is an equidigital number, since it uses as much as digits as its factorization.

11434791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11434791168 in words is "eleven billion, four hundred thirty-four million, seven hundred ninety-one thousand, one hundred sixty-eight".