18136871424 has 240 divisors, whose sum is σ = 60109777728. Its totient is φ = 5157052416.

The previous prime is 18136871419. The next prime is 18136871443. The reversal of 18136871424 is 42417863181.

18136871424 is a `hidden beast` number, since 18 + 136 + 87 + 1 + 424 = 666.

It is a super-2 number, since 2×18136871424² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18136871424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7320874 + ... + 7323350.

Almost surely, 2^18136871424 is an apocalyptic number.

18136871424 is a gapful number since it is divisible by the number (14) 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 18136871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30054888864).

18136871424 is an abundant number, since it is smaller than the sum of its proper divisors (41972906304).

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

18136871424 is a wasteful number, since it uses less digits than its factorization.

18136871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2716 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 18136871424 in words is "eighteen billion, one hundred thirty-six million, eight hundred seventy-one thousand, four hundred twenty-four".