18106368126 has 96 divisors (see below), whose sum is σ = 48166513920. Its totient is φ = 4426287360.

The previous prime is 18106368113. The next prime is 18106368187. The reversal of 18106368126 is 62186360181.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18396 + ... + 191183.

It is an arithmetic number, because the mean of its divisors is an integer number (501734520).

Almost surely, 2^18106368126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18106368126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083256960).

18106368126 is an abundant number, since it is smaller than the sum of its proper divisors (30060145794).

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

18106368126 is a wasteful number, since it uses less digits than its factorization.

18106368126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209630 (or 209619 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 18106368126 in words is "eighteen billion, one hundred six million, three hundred sixty-eight thousand, one hundred twenty-six".