13933448208 has 120 divisors (see below), whose sum is σ = 40869616320. Its totient is φ = 4422908160.

The previous prime is 13933448203. The next prime is 13933448209. The reversal of 13933448208 is 80284433931.

13933448208 is a `hidden beast` number, since 13 + 93 + 344 + 8 + 208 = 666.

It is a super-2 number, since 2×13933448208² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13933448203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749263 + ... + 767633.

It is an arithmetic number, because the mean of its divisors is an integer number (340580136).

Almost surely, 2^13933448208 is an apocalyptic number.

13933448208 is a gapful number since it is divisible by the number (18) 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 13933448208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434808160).

13933448208 is an abundant number, since it is smaller than the sum of its proper divisors (26936168112).

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

13933448208 is a wasteful number, since it uses less digits than its factorization.

13933448208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18637 (or 18628 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13933448208 in words is "thirteen billion, nine hundred thirty-three million, four hundred forty-eight thousand, two hundred eight".