11138048 has 44 divisors (see below), whose sum is σ = 22721700. Its totient is φ = 5455872.

The previous prime is 11138041. The next prime is 11138053. The reversal of 11138048 is 84083111.

It can be written as a sum of positive squares in 2 ways, for example, as 3564544 + 7573504 = 1888^2 + 2752^2 .

It is a super-2 number, since 2×11138048² = 248112226500608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74678 + ... + 74826.

Almost surely, 2^11138048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360850).

11138048 is an abundant number, since it is smaller than the sum of its proper divisors (11583652).

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

11138048 is an equidigital number, since it uses as much as digits as its factorization.

11138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 11138048 is about 3337.3714207442. The cubic root of 11138048 is about 223.3244955786.

The spelling of 11138048 in words is "eleven million, one hundred thirty-eight thousand, forty-eight".