13838210534772 has 72 divisors (see below), whose sum is σ = 38059041927816. Its totient is φ = 4214014930944.

The previous prime is 13838210534741. The next prime is 13838210534779. The reversal of 13838210534772 is 27743501283831.

13838210534772 is a `hidden beast` number, since 1 + 3 + 8 + 38 + 2 + 1 + 0 + 534 + 7 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 518002636176 + 13320207898596 = 719724^2 + 3649686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838210534779) 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, 152371233 + ... + 152462024.

It is an arithmetic number, because the mean of its divisors is an integer number (528597804553).

Almost surely, 2^{13838210534772} is an apocalyptic number.

13838210534772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13838210534772 is an abundant number, since it is smaller than the sum of its proper divisors (24220831393044).

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

13838210534772 is a wasteful number, since it uses less digits than its factorization.

13838210534772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304833377 (or 304833372 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 13838210534772 in words is "thirteen trillion, eight hundred thirty-eight billion, two hundred ten million, five hundred thirty-four thousand, seven hundred seventy-two".