13478378429664 has 72 divisors (see below), whose sum is σ = 38418069729312. Its totient is φ = 4482368655360.

The previous prime is 13478378429647. The next prime is 13478378429699. The reversal of 13478378429664 is 46692487387431.

13478378429664 is a `hidden beast` number, since 1 + 3 + 4 + 78 + 3 + 78 + 429 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13478378429592 and 13478378429601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54168129 + ... + 54416384.

It is an arithmetic number, because the mean of its divisors is an integer number (533584301796).

Almost surely, 2^{13478378429664} is an apocalyptic number.

It is an amenable number.

13478378429664 is an abundant number, since it is smaller than the sum of its proper divisors (24939691299648).

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

13478378429664 is a wasteful number, since it uses less digits than its factorization.

13478378429664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108584960 (or 108584949 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 13478378429664 in words is "thirteen trillion, four hundred seventy-eight billion, three hundred seventy-eight million, four hundred twenty-nine thousand, six hundred sixty-four".