18886408338336 has 1152 divisors, whose sum is σ = 66444802744320. Its totient is φ = 4638580531200.

The previous prime is 18886408338331. The next prime is 18886408338361. The reversal of 18886408338336 is 63383380468881.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18886408338331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18644035366 + ... + 18644036378.

It is an arithmetic number, because the mean of its divisors is an integer number (57677780160).

Almost surely, 2^{18886408338336} is an apocalyptic number.

18886408338336 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 18886408338336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33222401372160).

18886408338336 is an abundant number, since it is smaller than the sum of its proper divisors (47558394405984).

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

18886408338336 is a wasteful number, since it uses less digits than its factorization.

18886408338336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 69.

The spelling of 18886408338336 in words is "eighteen trillion, eight hundred eighty-six billion, four hundred eight million, three hundred thirty-eight thousand, three hundred thirty-six".