18226419120 has 480 divisors, whose sum is σ = 78133665792. Its totient is φ = 3845200896.

The previous prime is 18226419109. The next prime is 18226419131. The reversal of 18226419120 is 2191462281.

18226419120 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 641 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18226419109) and next prime (18226419131).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1763889 + ... + 1774191.

Almost surely, 2^18226419120 is an apocalyptic number.

18226419120 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 18226419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39066832896).

18226419120 is an abundant number, since it is smaller than the sum of its proper divisors (59907246672).

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

18226419120 is a wasteful number, since it uses less digits than its factorization.

18226419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18226419120 in words is "eighteen billion, two hundred twenty-six million, four hundred nineteen thousand, one hundred twenty".