13838001764 has 48 divisors (see below), whose sum is σ = 24872938608. Its totient is φ = 6734389248.

The previous prime is 13838001757. The next prime is 13838001767. The reversal of 13838001764 is 46710083831.

13838001764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1747240000 + 12090761764 = 41800^2 + 109958^2 .

It is a super-2 number, since 2×13838001764² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13838001767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17362214 + ... + 17363010.

It is an arithmetic number, because the mean of its divisors is an integer number (518186221).

Almost surely, 2^13838001764 is an apocalyptic number.

It is an amenable number.

13838001764 is a deficient number, since it is larger than the sum of its proper divisors (11034936844).

13838001764 is a wasteful number, since it uses less digits than its factorization.

13838001764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 13838001764 in words is "thirteen billion, eight hundred thirty-eight million, one thousand, seven hundred sixty-four".