13065404416 has 135 divisors (see below), whose sum is σ = 28176900339. Its totient is φ = 6057197568.

The previous prime is 13065404411. The next prime is 13065404431. The reversal of 13065404416 is 61440456031.

The square root of 13065404416 is 114304.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13065404411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 277987305 + ... + 277987351.

Almost surely, 2^13065404416 is an apocalyptic number.

13065404416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13065404416 is the 114304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065404416

13065404416 is an abundant number, since it is smaller than the sum of its proper divisors (15111495923).

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

13065404416 is an frugal number, since it uses more digits than its factorization.

13065404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 13065404416 in words is "thirteen billion, sixty-five million, four hundred four thousand, four hundred sixteen".