13387415616 has 105 divisors (see below), whose sum is σ = 39709203919. Its totient is φ = 4459694976.

The previous prime is 13387415597. The next prime is 13387415669. The reversal of 13387415616 is 61651478331.

The square root of 13387415616 is 115704.

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

13387415616 is a `hidden beast` number, since 1 + 3 + 3 + 87 + 4 + 1 + 561 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8329885 + ... + 8331491.

Almost surely, 2^13387415616 is an apocalyptic number.

13387415616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13387415616 is the 115704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387415616

13387415616 is an abundant number, since it is smaller than the sum of its proper divisors (26321788303).

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

13387415616 is an frugal number, since it uses more digits than its factorization.

13387415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 1612 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 13387415616 in words is "thirteen billion, three hundred eighty-seven million, four hundred fifteen thousand, six hundred sixteen".