11148480 has 252 divisors, whose sum is σ = 45171360. Its totient is φ = 2515968.

The previous prime is 11148469. The next prime is 11148503. The reversal of 11148480 is 8484111.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141081 + ... + 141159.

Almost surely, 2^11148480 is an apocalyptic number.

11148480 is a gapful number since it is divisible by the number (10) 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 11148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585680).

11148480 is an abundant number, since it is smaller than the sum of its proper divisors (34022880).

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

11148480 is a wasteful number, since it uses less digits than its factorization.

11148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11148480 is about 3338.9339616111. The cubic root of 11148480 is about 223.3941964265.

It can be divided in two parts, 11148 and 480, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11148480 in words is "eleven million, one hundred forty-eight thousand, four hundred eighty".