13769406904608 has 96 divisors (see below), whose sum is σ = 40166973645120. Its totient is φ = 4589093329920.

The previous prime is 13769406904573. The next prime is 13769406904613. The reversal of 13769406904608 is 80640960496731.

13769406904608 is a `hidden beast` number, since 1 + 3 + 76 + 9 + 40 + 69 + 0 + 460 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4380616 + ... + 6835832.

It is an arithmetic number, because the mean of its divisors is an integer number (418405975470).

Almost surely, 2^{13769406904608} is an apocalyptic number.

13769406904608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13769406904608 is an abundant number, since it is smaller than the sum of its proper divisors (26397566740512).

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

13769406904608 is a wasteful number, since it uses less digits than its factorization.

13769406904608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461727 (or 2461713 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 13769406904608 in words is "thirteen trillion, seven hundred sixty-nine billion, four hundred six million, nine hundred four thousand, six hundred eight".