14813408067408 has 60 divisors (see below), whose sum is σ = 41867433485748. Its totient is φ = 4888913548800.

The previous prime is 14813408067407. The next prime is 14813408067421. The reversal of 14813408067408 is 80476080431841.

14813408067408 is a `hidden beast` number, since 1 + 48 + 134 + 0 + 8 + 0 + 67 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14449060620864 + 364347446544 = 3801192^2 + 603612^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14813408067407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509247285 + ... + 509276372.

Almost surely, 2^{14813408067408} is an apocalyptic number.

14813408067408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14813408067408 is an abundant number, since it is smaller than the sum of its proper divisors (27054025418340).

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

14813408067408 is a wasteful number, since it uses less digits than its factorization.

14813408067408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018523772 (or 1018523763 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14813408067408 in words is "fourteen trillion, eight hundred thirteen billion, four hundred eight million, sixty-seven thousand, four hundred eight".