18157118142105 has 256 divisors, whose sum is σ = 36028418457600. Its totient is φ = 8634838671360.

The previous prime is 18157118142101. The next prime is 18157118142109. The reversal of 18157118142105 is 50124181175181.

18157118142105 is a `hidden beast` number, since 1 + 81 + 5 + 71 + 1 + 81 + 421 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (18157118142101) and next prime (18157118142109).

It is not a de Polignac number, because 18157118142105 - 2² = 18157118142101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18157118142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 776962861 + ... + 776986229.

It is an arithmetic number, because the mean of its divisors is an integer number (140736009600).

Almost surely, 2^{18157118142105} is an apocalyptic number.

18157118142105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18157118142105 is a deficient number, since it is larger than the sum of its proper divisors (17871300315495).

18157118142105 is a wasteful number, since it uses less digits than its factorization.

18157118142105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23661 (or 23655 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 45.

The spelling of 18157118142105 in words is "eighteen trillion, one hundred fifty-seven billion, one hundred eighteen million, one hundred forty-two thousand, one hundred five".