13850829600 has 144 divisors (see below), whose sum is σ = 45757883808. Its totient is φ = 3638384640.

The previous prime is 13850829599. The next prime is 13850829607. The reversal of 13850829600 is 692805831.

It is not an unprimeable number, because it can be changed into a prime (13850829607) 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, 117732 + ... + 203868.

It is an arithmetic number, because the mean of its divisors is an integer number (317763082).

Almost surely, 2^13850829600 is an apocalyptic number.

13850829600 is a gapful number since it is divisible by the number (10) 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 13850829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878941904).

13850829600 is an abundant number, since it is smaller than the sum of its proper divisors (31907054208).

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

13850829600 is a wasteful number, since it uses less digits than its factorization.

13850829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86227 (or 86214 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 13850829600 in words is "thirteen billion, eight hundred fifty million, eight hundred twenty-nine thousand, six hundred".