13503331897344 has 117 divisors (see below), whose sum is σ = 39006901648663. Its totient is φ = 4500875452416.

The previous prime is 13503331897303. The next prime is 13503331897361. The reversal of 13503331897344 is 44379813330531.

The square root of 13503331897344 is 3674688.

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

13503331897344 is a `hidden beast` number, since 1 + 3 + 503 + 3 + 3 + 1 + 8 + 97 + 3 + 44 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 705530527 + ... + 705549665.

Almost surely, 2^{13503331897344} is an apocalyptic number.

13503331897344 is the 3674688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13503331897344

13503331897344 is an abundant number, since it is smaller than the sum of its proper divisors (25503569751319).

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

13503331897344 is an frugal number, since it uses more digits than its factorization.

13503331897344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38308 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 13503331897344 in words is "thirteen trillion, five hundred three billion, three hundred thirty-one million, eight hundred ninety-seven thousand, three hundred forty-four".