13461608160000 has 4320 divisors, whose sum is σ = 67533604328960. Its totient is φ = 2572922880000.

The previous prime is 13461608159977. The next prime is 13461608160001. The reversal of 13461608160000 is 6180616431.

13461608160000 is a `hidden beast` number, since 1 + 3 + 46 + 1 + 6 + 0 + 8 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13461608160001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 47567519859 + ... + 47567520141.

Almost surely, 2^{13461608160000} is an apocalyptic number.

13461608160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13461608160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33766802164480).

13461608160000 is an abundant number, since it is smaller than the sum of its proper divisors (54071996168960).

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

13461608160000 is a wasteful number, since it uses less digits than its factorization.

13461608160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 13461608160000 its reverse (6180616431), we get a palindrome (13467788776431).

The spelling of 13461608160000 in words is "thirteen trillion, four hundred sixty-one billion, six hundred eight million, one hundred sixty thousand".