18228363120 has 240 divisors, whose sum is σ = 69256317312. Its totient is φ = 4418945280.

The previous prime is 18228363077. The next prime is 18228363133. The reversal of 18228363120 is 2136382281.

18228363120 is a `hidden beast` number, since 18 + 2 + 2 + 8 + 3 + 631 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×18228363120² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171219 + ... + 256461.

Almost surely, 2^18228363120 is an apocalyptic number.

18228363120 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 18228363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34628158656).

18228363120 is an abundant number, since it is smaller than the sum of its proper divisors (51027954192).

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

18228363120 is a wasteful number, since it uses less digits than its factorization.

18228363120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85282 (or 85264 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18228363120 in words is "eighteen billion, two hundred twenty-eight million, three hundred sixty-three thousand, one hundred twenty".