13468784575000 has 48 divisors (see below), whose sum is σ = 31565443588560. Its totient is φ = 5387513820000.

The previous prime is 13468784574941. The next prime is 13468784575067. The reversal of 13468784575000 is 57548786431.

13468784575000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269350692 + ... + 269400691.

It is an arithmetic number, because the mean of its divisors is an integer number (657613408095).

Almost surely, 2^{13468784575000} is an apocalyptic number.

13468784575000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13468784575000 is an abundant number, since it is smaller than the sum of its proper divisors (18096659013560).

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

13468784575000 is an frugal number, since it uses more digits than its factorization.

13468784575000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538751414 (or 538751390 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 13468784575000 in words is "thirteen trillion, four hundred sixty-eight billion, seven hundred eighty-four million, five hundred seventy-five thousand".