13132355416461 has 64 divisors (see below), whose sum is σ = 20059005469440. Its totient is φ = 8486058286080.

The previous prime is 13132355416429. The next prime is 13132355416469. The reversal of 13132355416461 is 16461455323131.

13132355416461 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 23 + 554 + 16 + 4 + 61 = 666.

It is not a de Polignac number, because 13132355416461 - 2⁵ = 13132355416429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132355416469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608616705 + ... + 608638281.

It is an arithmetic number, because the mean of its divisors is an integer number (313421960460).

Almost surely, 2^{13132355416461} is an apocalyptic number.

It is an amenable number.

13132355416461 is a deficient number, since it is larger than the sum of its proper divisors (6926650052979).

13132355416461 is a wasteful number, since it uses less digits than its factorization.

13132355416461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25163 (or 25157 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 13132355416461 in words is "thirteen trillion, one hundred thirty-two billion, three hundred fifty-five million, four hundred sixteen thousand, four hundred sixty-one".