18238830405120 has 960 divisors, whose sum is σ = 69036052909824. Its totient is φ = 4423152107520.

The previous prime is 18238830405079. The next prime is 18238830405121. The reversal of 18238830405120 is 2150403883281.

18238830405120 is a `hidden beast` number, since 1 + 8 + 23 + 88 + 30 + 4 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18238830405121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11609693935 + ... + 11609695505.

Almost surely, 2^{18238830405120} is an apocalyptic number.

18238830405120 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 18238830405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34518026454912).

18238830405120 is an abundant number, since it is smaller than the sum of its proper divisors (50797222504704).

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

18238830405120 is a wasteful number, since it uses less digits than its factorization.

18238830405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18238830405120 in words is "eighteen trillion, two hundred thirty-eight billion, eight hundred thirty million, four hundred five thousand, one hundred twenty".