18788834505168 has 240 divisors, whose sum is σ = 64723534512000. Its totient is φ = 4954804079616.

The previous prime is 18788834505167. The next prime is 18788834505179. The reversal of 18788834505168 is 86150543888781.

18788834505168 is a `hidden beast` number, since 1 + 8 + 7 + 8 + 8 + 8 + 3 + 450 + 5 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18788834505096 and 18788834505105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18788834505167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142544958 + ... + 142676706.

It is an arithmetic number, because the mean of its divisors is an integer number (269681393800).

Almost surely, 2^{18788834505168} is an apocalyptic number.

18788834505168 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 18788834505168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32361767256000).

18788834505168 is an abundant number, since it is smaller than the sum of its proper divisors (45934700006832).

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

18788834505168 is a wasteful number, since it uses less digits than its factorization.

18788834505168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142666 (or 142657 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 72.

The spelling of 18788834505168 in words is "eighteen trillion, seven hundred eighty-eight billion, eight hundred thirty-four million, five hundred five thousand, one hundred sixty-eight".