13434160189696 has 81 divisors (see below), whose sum is σ = 26945583054789. Its totient is φ = 6684737805312.

The previous prime is 13434160189649. The next prime is 13434160189717. The reversal of 13434160189696 is 69698106143431.

The square root of 13434160189696 is 3665264.

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., 2315510022400 + 11118650167296 = 1521680^2 + 3334464^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 16244449635 + ... + 16244450461.

Almost surely, 2^{13434160189696} is an apocalyptic number.

13434160189696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13434160189696 is the 3665264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434160189696

13434160189696 is an abundant number, since it is smaller than the sum of its proper divisors (13511422865093).

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

13434160189696 is an frugal number, since it uses more digits than its factorization.

13434160189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 13434160189696 in words is "thirteen trillion, four hundred thirty-four billion, one hundred sixty million, one hundred eighty-nine thousand, six hundred ninety-six".