18386462481408 has 1584 divisors, whose sum is σ = 66356934134400. Its totient is φ = 5067453726720.

The previous prime is 18386462481403. The next prime is 18386462481449. The reversal of 18386462481408 is 80418426468381.

It is a happy number.

18386462481408 is a `hidden beast` number, since 1 + 8 + 38 + 64 + 62 + 4 + 81 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18386462481403) 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 143 ways as a sum of consecutive naturals, for example, 43881771823 + ... + 43881772241.

Almost surely, 2^{18386462481408} is an apocalyptic number.

18386462481408 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 18386462481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33178467067200).

18386462481408 is an abundant number, since it is smaller than the sum of its proper divisors (47970471652992).

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

18386462481408 is an equidigital number, since it uses as much as digits as its factorization.

18386462481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 18386462481408 in words is "eighteen trillion, three hundred eighty-six billion, four hundred sixty-two million, four hundred eighty-one thousand, four hundred eight".