13665408408 has 48 divisors (see below), whose sum is σ = 37017208800. Its totient is φ = 4554308160.

The previous prime is 13665408377. The next prime is 13665408409. The reversal of 13665408408 is 80480456631.

13665408408 is a `hidden beast` number, since 1 + 3 + 66 + 540 + 8 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13665408409) 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, 480753 + ... + 508383.

It is an arithmetic number, because the mean of its divisors is an integer number (771191850).

Almost surely, 2^13665408408 is an apocalyptic number.

13665408408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13665408408 is an abundant number, since it is smaller than the sum of its proper divisors (23351800392).

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

13665408408 is a wasteful number, since it uses less digits than its factorization.

13665408408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34512 (or 34505 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13665408408 in words is "thirteen billion, six hundred sixty-five million, four hundred eight thousand, four hundred eight".