13838122600 has 24 divisors (see below), whose sum is σ = 32173635510. Its totient is φ = 5535248960.

The previous prime is 13838122591. The next prime is 13838122619. The reversal of 13838122600 is 622183831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5651130276 + 8186992324 = 75174^2 + 90482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34595107 + ... + 34595506.

Almost surely, 2^13838122600 is an apocalyptic number.

13838122600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13838122600 is an abundant number, since it is smaller than the sum of its proper divisors (18335512910).

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

13838122600 is a wasteful number, since it uses less digits than its factorization.

13838122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69190629 (or 69190620 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 13838122600 in words is "thirteen billion, eight hundred thirty-eight million, one hundred twenty-two thousand, six hundred".