13833308672 has 120 divisors (see below), whose sum is σ = 28839307068. Its totient is φ = 6626181120.

The previous prime is 13833308651. The next prime is 13833308689. The reversal of 13833308672 is 27680333831.

It can be written as a sum of positive squares in 6 ways, for example, as 1535385856 + 12297922816 = 39184^2 + 110896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100972988 + ... + 100973124.

Almost surely, 2^13833308672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13833308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419653534).

13833308672 is an abundant number, since it is smaller than the sum of its proper divisors (15005998396).

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

13833308672 is an frugal number, since it uses more digits than its factorization.

13833308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 13833308672 in words is "thirteen billion, eight hundred thirty-three million, three hundred eight thousand, six hundred seventy-two".