12138436764 has 120 divisors (see below), whose sum is σ = 34314477120. Its totient is φ = 3727033344.

The previous prime is 12138436763. The next prime is 12138436769. The reversal of 12138436764 is 46763483121.

12138436764 is a `hidden beast` number, since 12 + 138 + 436 + 76 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138436763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235432 + ... + 282320.

It is an arithmetic number, because the mean of its divisors is an integer number (285953976).

Almost surely, 2^12138436764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12138436764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157238560).

12138436764 is an abundant number, since it is smaller than the sum of its proper divisors (22176040356).

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

12138436764 is a wasteful number, since it uses less digits than its factorization.

12138436764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46969 (or 46958 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 12138436764 in words is "twelve billion, one hundred thirty-eight million, four hundred thirty-six thousand, seven hundred sixty-four".