11384854272 has 216 divisors, whose sum is σ = 37368309888. Its totient is φ = 3299788800.

The previous prime is 11384854267. The next prime is 11384854319. The reversal of 11384854272 is 27245848311.

11384854272 is a `hidden beast` number, since 1 + 1 + 38 + 4 + 8 + 542 + 72 = 666.

It is a super-2 number, since 2×11384854272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573147 + ... + 592677.

Almost surely, 2^11384854272 is an apocalyptic number.

11384854272 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 11384854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18684154944).

11384854272 is an abundant number, since it is smaller than the sum of its proper divisors (25983455616).

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

11384854272 is a wasteful number, since it uses less digits than its factorization.

11384854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19587 (or 19570 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 11384854272 in words is "eleven billion, three hundred eighty-four million, eight hundred fifty-four thousand, two hundred seventy-two".