13808753406 has 72 divisors (see below), whose sum is σ = 34939691280. Its totient is φ = 3929942016.

The previous prime is 13808753389. The next prime is 13808753407. The reversal of 13808753406 is 60435780831.

13808753406 is a `hidden beast` number, since 1 + 38 + 0 + 87 + 534 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13808753407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196215 + ... + 257133.

It is an arithmetic number, because the mean of its divisors is an integer number (485273490).

Almost surely, 2^13808753406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13808753406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469845640).

13808753406 is an abundant number, since it is smaller than the sum of its proper divisors (21130937874).

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

13808753406 is a wasteful number, since it uses less digits than its factorization.

13808753406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61198 (or 61188 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13808753406 in words is "thirteen billion, eight hundred eight million, seven hundred fifty-three thousand, four hundred six".