13593694464 has 243 divisors, whose sum is σ = 45724758807. Its totient is φ = 3872719872.

The previous prime is 13593694451. The next prime is 13593694481. The reversal of 13593694464 is 46449639531.

It is a happy number.

The square root of 13593694464 is 116592.

It is a perfect power (a square), and thus also a powerful number.

13593694464 is a `hidden beast` number, since 1 + 3 + 5 + 93 + 6 + 94 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13593694464.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39174739 + ... + 39175085.

Almost surely, 2^13593694464 is an apocalyptic number.

13593694464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13593694464 is the 116592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13593694464

13593694464 is an abundant number, since it is smaller than the sum of its proper divisors (32131064343).

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

13593694464 is an frugal number, since it uses more digits than its factorization.

13593694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 359 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

It can be divided in two parts, 135936 and 94464, that added together give a square (230400 = 480²).

The spelling of 13593694464 in words is "thirteen billion, five hundred ninety-three million, six hundred ninety-four thousand, four hundred sixty-four".