18242472188268 has 240 divisors, whose sum is σ = 50403274915840. Its totient is φ = 5737421289600.

The previous prime is 18242472188257. The next prime is 18242472188279. The reversal of 18242472188268 is 86288127424281.

It is a happy number.

18242472188268 is a `hidden beast` number, since 1 + 8 + 2 + 424 + 7 + 2 + 188 + 26 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (18242472188257) and next prime (18242472188279).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2227132053 + ... + 2227140243.

Almost surely, 2^{18242472188268} is an apocalyptic number.

18242472188268 is a gapful number since it is divisible by the number (18) 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 18242472188268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201637457920).

18242472188268 is an abundant number, since it is smaller than the sum of its proper divisors (32160802727572).

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

18242472188268 is a wasteful number, since it uses less digits than its factorization.

18242472188268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9650 (or 9639 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 63.

The spelling of 18242472188268 in words is "eighteen trillion, two hundred forty-two billion, four hundred seventy-two million, one hundred eighty-eight thousand, two hundred sixty-eight".