18228468960 has 768 divisors, whose sum is σ = 74177752320. Its totient is φ = 4140564480.

The previous prime is 18228468953. The next prime is 18228468989. The reversal of 18228468960 is 6986482281.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18228468897 and 18228468906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58237764 + ... + 58238076.

It is an arithmetic number, because the mean of its divisors is an integer number (96585615).

Almost surely, 2^18228468960 is an apocalyptic number.

18228468960 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 18228468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37088876160).

18228468960 is an abundant number, since it is smaller than the sum of its proper divisors (55949283360).

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

18228468960 is a wasteful number, since it uses less digits than its factorization.

18228468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 18228468960 in words is "eighteen billion, two hundred twenty-eight million, four hundred sixty-eight thousand, nine hundred sixty".