11381134176 has 96 divisors (see below), whose sum is σ = 33251904000. Its totient is φ = 3787205760.

The previous prime is 11381134153. The next prime is 11381134189. The reversal of 11381134176 is 67143118311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11381134176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506541 + ... + 528531.

It is an arithmetic number, because the mean of its divisors is an integer number (346374000).

Almost surely, 2^11381134176 is an apocalyptic number.

11381134176 is a gapful number since it is divisible by the number (16) 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 11381134176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625952000).

11381134176 is an abundant number, since it is smaller than the sum of its proper divisors (21870769824).

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

11381134176 is a wasteful number, since it uses less digits than its factorization.

11381134176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22609 (or 22595 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 11381134176 in words is "eleven billion, three hundred eighty-one million, one hundred thirty-four thousand, one hundred seventy-six".