18289746216 has 320 divisors, whose sum is σ = 61008393600. Its totient is φ = 5008614912.

The previous prime is 18289746127. The next prime is 18289746227. The reversal of 18289746216 is 61264798281.

It is a happy number.

18289746216 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 9 + 7 + 4 + 621 + 6 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21441246 + ... + 21442098.

It is an arithmetic number, because the mean of its divisors is an integer number (190651230).

Almost surely, 2^18289746216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18289746216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30504196800).

18289746216 is an abundant number, since it is smaller than the sum of its proper divisors (42718647384).

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

18289746216 is a wasteful number, since it uses less digits than its factorization.

18289746216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1057 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 18289746216 in words is "eighteen billion, two hundred eighty-nine million, seven hundred forty-six thousand, two hundred sixteen".