12338011869552 has 200 divisors, whose sum is σ = 36440269954704. Its totient is φ = 4028783256576.

The previous prime is 12338011869551. The next prime is 12338011869569. The reversal of 12338011869552 is 25596811083321.

12338011869552 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 8 + 0 + 1 + 1 + 86 + 9 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338011869551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44026708 + ... + 44306060.

Almost surely, 2^{12338011869552} is an apocalyptic number.

12338011869552 is a gapful number since it is divisible by the number (12) 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 12338011869552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220134977352).

12338011869552 is an abundant number, since it is smaller than the sum of its proper divisors (24102258085152).

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

12338011869552 is a wasteful number, since it uses less digits than its factorization.

12338011869552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280069 (or 280054 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 12338011869552 in words is "twelve trillion, three hundred thirty-eight billion, eleven million, eight hundred sixty-nine thousand, five hundred fifty-two".