344200663125 has 480 divisors, whose sum is σ = 754466993280. Its totient is φ = 149299200000.

The previous prime is 344200663123. The next prime is 344200663139. The reversal of 344200663125 is 521366002443.

344200663125 is a `hidden beast` number, since 344 + 200 + 66 + 31 + 25 = 666.

It is not a de Polignac number, because 344200663125 - 2¹ = 344200663123 is a prime.

It is a super-4 number, since 4×344200663125⁴ (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344200663125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344200663123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1783423029 + ... + 1783423221.

It is an arithmetic number, because the mean of its divisors is an integer number (1571806236).

Almost surely, 2^344200663125 is an apocalyptic number.

It is an amenable number.

344200663125 is an abundant number, since it is smaller than the sum of its proper divisors (410266330155).

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

344200663125 is a wasteful number, since it uses less digits than its factorization.

344200663125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 344200663125 its reverse (521366002443), we get a palindrome (865566665568).

The spelling of 344200663125 in words is "three hundred forty-four billion, two hundred million, six hundred sixty-three thousand, one hundred twenty-five".