11830823172 has 96 divisors (see below), whose sum is σ = 35220899840. Its totient is φ = 3364169760.

The previous prime is 11830823161. The next prime is 11830823197. The reversal of 11830823172 is 27132803811.

11830823172 is a `hidden beast` number, since 118 + 308 + 231 + 7 + 2 = 666.

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

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, 122433 + ... + 196599.

Almost surely, 2^11830823172 is an apocalyptic number.

11830823172 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 11830823172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610449920).

11830823172 is an abundant number, since it is smaller than the sum of its proper divisors (23390076668).

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

11830823172 is a wasteful number, since it uses less digits than its factorization.

11830823172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74398 (or 74390 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11830823172 in words is "eleven billion, eight hundred thirty million, eight hundred twenty-three thousand, one hundred seventy-two".