18292130208 has 288 divisors, whose sum is σ = 59615861760. Its totient is φ = 5470882560.

The previous prime is 18292130183. The next prime is 18292130209. The reversal of 18292130208 is 80203129281.

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

It is a super-2 number, since 2×18292130208² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18292130209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6755991 + ... + 6758697.

It is an arithmetic number, because the mean of its divisors is an integer number (206999520).

Almost surely, 2^18292130208 is an apocalyptic number.

18292130208 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 18292130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29807930880).

18292130208 is an abundant number, since it is smaller than the sum of its proper divisors (41323731552).

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

18292130208 is a wasteful number, since it uses less digits than its factorization.

18292130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2802 counting only the distinct ones).

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

Adding to 18292130208 its reverse (80203129281), we get a palindrome (98495259489).

The spelling of 18292130208 in words is "eighteen billion, two hundred ninety-two million, one hundred thirty thousand, two hundred eight".