11118228480 has 880 divisors, whose sum is σ = 44940329280. Its totient is φ = 2611740672.

The previous prime is 11118228469. The next prime is 11118228547. The reversal of 11118228480 is 8482281111.

It is a super-4 number, since 4×11118228480⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133954519 + ... + 133954601.

It is an arithmetic number, because the mean of its divisors is an integer number (51068556).

Almost surely, 2^11118228480 is an apocalyptic number.

11118228480 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 11118228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470164640).

11118228480 is an abundant number, since it is smaller than the sum of its proper divisors (33822100800).

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

11118228480 is a wasteful number, since it uses less digits than its factorization.

11118228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 11118228480 in words is "eleven billion, one hundred eighteen million, two hundred twenty-eight thousand, four hundred eighty".