13513975890496 has 63 divisors (see below), whose sum is σ = 28034840147251. Its totient is φ = 6462882360704.

The previous prime is 13513975890361. The next prime is 13513975890553. The reversal of 13513975890496 is 69409857931531.

It is a happy number.

The square root of 13513975890496 is 3676136.

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

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, 676399035 + ... + 676419013.

Almost surely, 2^{13513975890496} is an apocalyptic number.

13513975890496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13513975890496 is the 3676136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13513975890496

13513975890496 is an abundant number, since it is smaller than the sum of its proper divisors (14520864256755).

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

13513975890496 is an frugal number, since it uses more digits than its factorization.

13513975890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40016 (or 20004 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 70.

The spelling of 13513975890496 in words is "thirteen trillion, five hundred thirteen billion, nine hundred seventy-five million, eight hundred ninety thousand, four hundred ninety-six".