13534064896 has 81 divisors (see below), whose sum is σ = 29739453429. Its totient is φ = 6142540800.

The previous prime is 13534064893. The next prime is 13534064953. The reversal of 13534064896 is 69846043531.

It is a happy number.

The square root of 13534064896 is 116336.

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., 10746224896 + 2787840000 = 103664^2 + 52800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13534064893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20474806 + ... + 20475466.

Almost surely, 2^13534064896 is an apocalyptic number.

13534064896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13534064896 is the 116336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13534064896

13534064896 is an abundant number, since it is smaller than the sum of its proper divisors (16205388533).

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

13534064896 is an frugal number, since it uses more digits than its factorization.

13534064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 13534064896 by its sum of digits (49), we get a square (663169179904 = 814352²).

The spelling of 13534064896 in words is "thirteen billion, five hundred thirty-four million, sixty-four thousand, eight hundred ninety-six".