13216658976 has 288 divisors, whose sum is σ = 41980800960. Its totient is φ = 4042137600.

The previous prime is 13216658933. The next prime is 13216659007. The reversal of 13216658976 is 67985661231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10236891 + ... + 10238181.

It is an arithmetic number, because the mean of its divisors is an integer number (145766670).

Almost surely, 2^13216658976 is an apocalyptic number.

13216658976 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 13216658976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20990400480).

13216658976 is an abundant number, since it is smaller than the sum of its proper divisors (28764141984).

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

13216658976 is a wasteful number, since it uses less digits than its factorization.

13216658976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1354 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13216658976 in words is "thirteen billion, two hundred sixteen million, six hundred fifty-eight thousand, nine hundred seventy-six".