11216493288 has 384 divisors, whose sum is σ = 42939187200. Its totient is φ = 2547417600.

The previous prime is 11216493263. The next prime is 11216493361. The reversal of 11216493288 is 88239461211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1365273 + ... + 1373463.

It is an arithmetic number, because the mean of its divisors is an integer number (111820800).

Almost surely, 2^11216493288 is an apocalyptic number.

11216493288 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 11216493288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21469593600).

11216493288 is an abundant number, since it is smaller than the sum of its proper divisors (31722693912).

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

11216493288 is a wasteful number, since it uses less digits than its factorization.

11216493288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8246 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11216493288 in words is "eleven billion, two hundred sixteen million, four hundred ninety-three thousand, two hundred eighty-eight".