11147023872 has 320 divisors, whose sum is σ = 34176384000. Its totient is φ = 3585613824.

The previous prime is 11147023819. The next prime is 11147023889. The reversal of 11147023872 is 27832074111.

11147023872 is a `hidden beast` number, since 111 + 470 + 2 + 3 + 8 + 72 = 666.

It is a super-2 number, since 2×11147023872² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64433578 + ... + 64433750.

It is an arithmetic number, because the mean of its divisors is an integer number (106801200).

Almost surely, 2^11147023872 is an apocalyptic number.

11147023872 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 11147023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088192000).

11147023872 is an abundant number, since it is smaller than the sum of its proper divisors (23029360128).

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

11147023872 is an equidigital number, since it uses as much as digits as its factorization.

11147023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 11147023872 its reverse (27832074111), we get a palindrome (38979097983).

The spelling of 11147023872 in words is "eleven billion, one hundred forty-seven million, twenty-three thousand, eight hundred seventy-two".