13473091104768 has 312 divisors, whose sum is σ = 39687321523200. Its totient is φ = 4402620628992.

The previous prime is 13473091104701. The next prime is 13473091104787. The reversal of 13473091104768 is 86740119037431.

13473091104768 is a `hidden beast` number, since 1 + 3 + 4 + 73 + 0 + 91 + 10 + 476 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798207753 + ... + 798224631.

It is an arithmetic number, because the mean of its divisors is an integer number (127202953600).

Almost surely, 2^{13473091104768} is an apocalyptic number.

13473091104768 is a gapful number since it is divisible by the number (18) 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 13473091104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843660761600).

13473091104768 is an abundant number, since it is smaller than the sum of its proper divisors (26214230418432).

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

13473091104768 is a wasteful number, since it uses less digits than its factorization.

13473091104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335 (or 17310 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13473091104768 in words is "thirteen trillion, four hundred seventy-three billion, ninety-one million, one hundred four thousand, seven hundred sixty-eight".