11134176144 has 160 divisors (see below), whose sum is σ = 35448397824. Its totient is φ = 2932554240.

The previous prime is 11134176133. The next prime is 11134176169. The reversal of 11134176144 is 44167143111.

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

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, 4816749 + ... + 4819059.

Almost surely, 2^11134176144 is an apocalyptic number.

11134176144 is a gapful number since it is divisible by the number (14) 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 11134176144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724198912).

11134176144 is an abundant number, since it is smaller than the sum of its proper divisors (24314221680).

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

11134176144 is a wasteful number, since it uses less digits than its factorization.

11134176144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3439 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The spelling of 11134176144 in words is "eleven billion, one hundred thirty-four million, one hundred seventy-six thousand, one hundred forty-four".