12349755388224 has 1120 divisors, whose sum is σ = 40424749833600. Its totient is φ = 3714862694400.

The previous prime is 12349755388207. The next prime is 12349755388231. The reversal of 12349755388224 is 42288355794321.

12349755388224 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 9 + 75 + 538 + 8 + 2 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31107695994 + ... + 31107696390.

Almost surely, 2^{12349755388224} 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 12349755388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20212374916800).

12349755388224 is an abundant number, since it is smaller than the sum of its proper divisors (28074994445376).

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

12349755388224 is a wasteful number, since it uses less digits than its factorization.

12349755388224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 12349755388224 in words is "twelve trillion, three hundred forty-nine billion, seven hundred fifty-five million, three hundred eighty-eight thousand, two hundred twenty-four".