18630000906 has 192 divisors, whose sum is σ = 44113434624. Its totient is φ = 5195865600.

The previous prime is 18630000899. The next prime is 18630000937. The reversal of 18630000906 is 60900003681.

18630000906 is a nontrivial binomial coefficient, being equal to C(193029, 2).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174112105 + ... + 174112211.

It is an arithmetic number, because the mean of its divisors is an integer number (229757472).

Almost surely, 2^18630000906 is an apocalyptic number.

18630000906 is the 193028-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18630000906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056717312).

18630000906 is an abundant number, since it is smaller than the sum of its proper divisors (25483433718).

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

18630000906 is a wasteful number, since it uses less digits than its factorization.

18630000906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 18630000906 in words is "eighteen billion, six hundred thirty million, nine hundred six", and thus it is an aban number.