13895478896896 has 81 divisors (see below), whose sum is σ = 28345095086889. Its totient is φ = 6798543424512.

The previous prime is 13895478896891. The next prime is 13895478896927. The reversal of 13895478896896 is 69869887459831.

It is a happy number.

The square root of 13895478896896 is 3727664.

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

It can be written as a sum of positive squares in only one way, i.e., 11784665094400 + 2110813802496 = 3432880^2 + 1452864^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13895478896896.

It is not an unprimeable number, because it can be changed into a prime (13895478896891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2803200850 + ... + 2803205806.

Almost surely, 2^{13895478896896} is an apocalyptic number.

13895478896896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13895478896896 is the 3727664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13895478896896

13895478896896 is an abundant number, since it is smaller than the sum of its proper divisors (14449616189993).

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

13895478896896 is an frugal number, since it uses more digits than its factorization.

13895478896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 5006 counting only the distinct ones).

The product of its digits is 45148078080, while the sum is 91.

The spelling of 13895478896896 in words is "thirteen trillion, eight hundred ninety-five billion, four hundred seventy-eight million, eight hundred ninety-six thousand, eight hundred ninety-six".