11042869248 has 312 divisors, whose sum is σ = 34408490688. Its totient is φ = 3399745536.

The previous prime is 11042869247. The next prime is 11042869249. The reversal of 11042869248 is 84296824011.

It is an interprime number because it is at equal distance from previous prime (11042869247) and next prime (11042869249).

It is a super-2 number, since 2×11042869248² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042869241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41987965 + ... + 41988227.

It is an arithmetic number, because the mean of its divisors is an integer number (110283624).

Almost surely, 2^11042869248 is an apocalyptic number.

11042869248 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 11042869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204245344).

11042869248 is an abundant number, since it is smaller than the sum of its proper divisors (23365621440).

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

11042869248 is a wasteful number, since it uses less digits than its factorization.

11042869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11042869248 in words is "eleven billion, forty-two million, eight hundred sixty-nine thousand, two hundred forty-eight".