18187842816 has 288 divisors, whose sum is σ = 63190995840. Its totient is φ = 5087232000.

The previous prime is 18187842769. The next prime is 18187842821. The reversal of 18187842816 is 61824878181.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979216 + ... + 997616.

It is an arithmetic number, because the mean of its divisors is an integer number (219413180).

Almost surely, 2^18187842816 is an apocalyptic number.

18187842816 is a gapful number since it is divisible by the number (16) 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 18187842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31595497920).

18187842816 is an abundant number, since it is smaller than the sum of its proper divisors (45003153024).

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

18187842816 is a wasteful number, since it uses less digits than its factorization.

18187842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 18430 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 54.

The spelling of 18187842816 in words is "eighteen billion, one hundred eighty-seven million, eight hundred forty-two thousand, eight hundred sixteen".