12838857745536 has 192 divisors, whose sum is σ = 39122034026400. Its totient is φ = 4027502223360.

The previous prime is 12838857745531. The next prime is 12838857745547. The reversal of 12838857745536 is 63554775883821.

It is a happy number.

12838857745536 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 8 + 577 + 45 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12838857745531) 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 23 ways as a sum of consecutive naturals, for example, 272801175 + ... + 272848233.

Almost surely, 2^{12838857745536} is an apocalyptic number.

12838857745536 is a gapful number since it is divisible by the number (16) 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 12838857745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561017013200).

12838857745536 is an abundant number, since it is smaller than the sum of its proper divisors (26283176280864).

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

12838857745536 is a wasteful number, since it uses less digits than its factorization.

12838857745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61027 (or 61012 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 72.

The spelling of 12838857745536 in words is "twelve trillion, eight hundred thirty-eight billion, eight hundred fifty-seven million, seven hundred forty-five thousand, five hundred thirty-six".