18867666090 has 192 divisors, whose sum is σ = 58559155200. Its totient is φ = 3852334080.

The previous prime is 18867666079. The next prime is 18867666091. The reversal of 18867666090 is 9066676881.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18867666090.

It is not an unprimeable number, because it can be changed into a prime (18867666091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 576486 + ... + 608334.

It is an arithmetic number, because the mean of its divisors is an integer number (304995600).

Almost surely, 2^18867666090 is an apocalyptic number.

18867666090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18867666090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29279577600).

18867666090 is an abundant number, since it is smaller than the sum of its proper divisors (39691489110).

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

18867666090 is a wasteful number, since it uses less digits than its factorization.

18867666090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31917 (or 31910 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 18867666090 in words is "eighteen billion, eight hundred sixty-seven million, six hundred sixty-six thousand, ninety".