18677518828416 has 256 divisors, whose sum is σ = 63006597888000. Its totient is φ = 5335838447616.

The previous prime is 18677518828399. The next prime is 18677518828417. The reversal of 18677518828416 is 61482881577681.

18677518828416 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 7 + 5 + 188 + 28 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18677518828417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 245728530 + ... + 245804526.

It is an arithmetic number, because the mean of its divisors is an integer number (246119523000).

Almost surely, 2^{18677518828416} is an apocalyptic number.

18677518828416 is a gapful number since it is divisible by the number (16) 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 18677518828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31503298944000).

18677518828416 is an abundant number, since it is smaller than the sum of its proper divisors (44329079059584).

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

18677518828416 is a wasteful number, since it uses less digits than its factorization.

18677518828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86186 (or 86168 counting only the distinct ones).

The product of its digits is 289013760, while the sum is 72.

The spelling of 18677518828416 in words is "eighteen trillion, six hundred seventy-seven billion, five hundred eighteen million, eight hundred twenty-eight thousand, four hundred sixteen".