11366869248 has 216 divisors, whose sum is σ = 37881043200. Its totient is φ = 3210780672.

The previous prime is 11366869229. The next prime is 11366869253. The reversal of 11366869248 is 84296866311.

It is a super-2 number, since 2×11366869248² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11366869194 and 11366869203.

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 23 ways as a sum of consecutive naturals, for example, 1431433 + ... + 1439351.

It is an arithmetic number, because the mean of its divisors is an integer number (175375200).

Almost surely, 2^11366869248 is an apocalyptic number.

11366869248 is a gapful number since it is divisible by the number (18) 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 11366869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940521600).

11366869248 is an abundant number, since it is smaller than the sum of its proper divisors (26514173952).

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

11366869248 is an equidigital number, since it uses as much as digits as its factorization.

11366869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8020 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 11366869248 in words is "eleven billion, three hundred sixty-six million, eight hundred sixty-nine thousand, two hundred forty-eight".