13436473104000 has 512 divisors, whose sum is σ = 50102139859200. Its totient is φ = 3583050163200.

The previous prime is 13436473103983. The next prime is 13436473104001. The reversal of 13436473104000 is 40137463431.

13436473104000 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 647 + 3 + 1 + 0 + 4 + 0 + 0 + 0 = 666.

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 (13436473104001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34800007 + ... + 35183993.

Almost surely, 2^{13436473104000} is an apocalyptic number.

13436473104000 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 13436473104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25051069929600).

13436473104000 is an abundant number, since it is smaller than the sum of its proper divisors (36665666755200).

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

13436473104000 is an frugal number, since it uses more digits than its factorization.

13436473104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384037 (or 383997 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13436473104000 in words is "thirteen trillion, four hundred thirty-six billion, four hundred seventy-three million, one hundred four thousand".