13459977216 has 264 divisors, whose sum is σ = 45626156160. Its totient is φ = 3741106176.

The previous prime is 13459977187. The next prime is 13459977227. The reversal of 13459977216 is 61277995431.

13459977216 is a `hidden beast` number, since 1 + 34 + 599 + 7 + 7 + 2 + 16 = 666.

It is a super-2 number, since 2×13459977216² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2384125 + ... + 2389763.

Almost surely, 2^13459977216 is an apocalyptic number.

13459977216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13459977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813078080).

13459977216 is an abundant number, since it is smaller than the sum of its proper divisors (32166178944).

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

13459977216 is a wasteful number, since it uses less digits than its factorization.

13459977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5688 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 13459977216 in words is "thirteen billion, four hundred fifty-nine million, nine hundred seventy-seven thousand, two hundred sixteen".