13746505602960 has 180 divisors, whose sum is σ = 49989696779412. Its totient is φ = 3383755195392.

The previous prime is 13746505602953. The next prime is 13746505602989. The reversal of 13746505602960 is 6920650564731.

13746505602960 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 6 + 50 + 560 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7138130505984 + 6608375096976 = 2671728^2 + 2570676^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 13746505602897 and 13746505602906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56364619 + ... + 56607978.

Almost surely, 2^{13746505602960} is an apocalyptic number.

13746505602960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13746505602960 is an abundant number, since it is smaller than the sum of its proper divisors (36243191176452).

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

13746505602960 is a wasteful number, since it uses less digits than its factorization.

13746505602960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112972642 (or 112972620 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 13746505602960 in words is "thirteen trillion, seven hundred forty-six billion, five hundred five million, six hundred two thousand, nine hundred sixty".