12849233308800 has 768 divisors, whose sum is σ = 49411334496000. Its totient is φ = 2933634170880.

The previous prime is 12849233308799. The next prime is 12849233308859. The reversal of 12849233308800 is 880333294821.

It is a super-3 number, since 3×12849233308800³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3994164792 + ... + 3994168008.

It is an arithmetic number, because the mean of its divisors is an integer number (64337675125).

Almost surely, 2^{12849233308800} is an apocalyptic number.

12849233308800 is a gapful number since it is divisible by the number (10) 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 12849233308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24705667248000).

12849233308800 is an abundant number, since it is smaller than the sum of its proper divisors (36562101187200).

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

12849233308800 is a wasteful number, since it uses less digits than its factorization.

12849233308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 12849233308800 in words is "twelve trillion, eight hundred forty-nine billion, two hundred thirty-three million, three hundred eight thousand, eight hundred".