18505519912908 has 288 divisors, whose sum is σ = 56161246276800. Its totient is φ = 5254075072512.

The previous prime is 18505519912907. The next prime is 18505519912927. The reversal of 18505519912908 is 80921991550581.

18505519912908 is a `hidden beast` number, since 1 + 8 + 5 + 0 + 5 + 519 + 91 + 29 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18505519912907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2461818766 + ... + 2461826282.

It is an arithmetic number, because the mean of its divisors is an integer number (195004327350).

Almost surely, 2^{18505519912908} is an apocalyptic number.

18505519912908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18505519912908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080623138400).

18505519912908 is an abundant number, since it is smaller than the sum of its proper divisors (37655726363892).

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

18505519912908 is a wasteful number, since it uses less digits than its factorization.

18505519912908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 63.

The spelling of 18505519912908 in words is "eighteen trillion, five hundred five billion, five hundred nineteen million, nine hundred twelve thousand, nine hundred eight".