12838462286400 has 945 divisors, whose sum is σ = 48681831207009. Its totient is φ = 3318677360640.

The previous prime is 12838462286389. The next prime is 12838462286443. The reversal of 12838462286400 is 468226483821.

The square root of 12838462286400 is 3583080.

It is a perfect power (a square), and thus also a powerful number.

12838462286400 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 4 + 6 + 228 + 6 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9069397263936 + 3769065022464 = 3011544^2 + 1941408^2 .

It is a super-2 number, since 2×12838462286400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47726625466 + ... + 47726625734.

Almost surely, 2^{12838462286400} is an apocalyptic number.

12838462286400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12838462286400 is the 3583080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12838462286400

12838462286400 is an abundant number, since it is smaller than the sum of its proper divisors (35843368920609).

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

12838462286400 is an frugal number, since it uses more digits than its factorization.

12838462286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 12838462286400 in words is "twelve trillion, eight hundred thirty-eight billion, four hundred sixty-two million, two hundred eighty-six thousand, four hundred".