11173249152 has 384 divisors, whose sum is σ = 36676523520. Its totient is φ = 3240345600.

The previous prime is 11173249127. The next prime is 11173249169. The reversal of 11173249152 is 25194237111.

It is a happy number.

11173249152 is a `hidden beast` number, since 1 + 117 + 3 + 2 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11173249152² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19034203 + ... + 19034789.

It is an arithmetic number, because the mean of its divisors is an integer number (95511780).

Almost surely, 2^11173249152 is an apocalyptic number.

11173249152 is a gapful number since it is divisible by the number (12) 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 11173249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338261760).

11173249152 is an abundant number, since it is smaller than the sum of its proper divisors (25503274368).

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

11173249152 is a wasteful number, since it uses less digits than its factorization.

11173249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 11173249152 in words is "eleven billion, one hundred seventy-three million, two hundred forty-nine thousand, one hundred fifty-two".