11123216460 has 240 divisors, whose sum is σ = 35926894080. Its totient is φ = 2879452800.

The previous prime is 11123216459. The next prime is 11123216473. The reversal of 11123216460 is 6461232111.

It is a happy number.

11123216460 is a `hidden beast` number, since 1 + 1 + 12 + 3 + 2 + 1 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10582935 + ... + 10583985.

It is an arithmetic number, because the mean of its divisors is an integer number (149695392).

Almost surely, 2^11123216460 is an apocalyptic number.

11123216460 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 11123216460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963447040).

11123216460 is an abundant number, since it is smaller than the sum of its proper divisors (24803677620).

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

11123216460 is a wasteful number, since it uses less digits than its factorization.

11123216460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11123216460 its reverse (6461232111), we get a palindrome (17584448571).

The spelling of 11123216460 in words is "eleven billion, one hundred twenty-three million, two hundred sixteen thousand, four hundred sixty".