52344188144325 has 192 divisors, whose sum is σ = 119925895680000. Its totient is φ = 21746110521600.

The previous prime is 52344188144323. The next prime is 52344188144341.

52344188144325 is a `hidden beast` number, since 5 + 23 + 4 + 4 + 188 + 1 + 4 + 432 + 5 = 666.

52344188144325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52344188144325 - 2¹ = 52344188144323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52344188144321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155705119 + ... + 156040931.

It is an arithmetic number, because the mean of its divisors is an integer number (624614040000).

Almost surely, 2^{52344188144325} is an apocalyptic number.

52344188144325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52344188144325 is an abundant number, since it is smaller than the sum of its proper divisors (67581707535675).

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

52344188144325 is a wasteful number, since it uses less digits than its factorization.

52344188144325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338849 (or 338838 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 52344188144325 in words is "fifty-two trillion, three hundred forty-four billion, one hundred eighty-eight million, one hundred forty-four thousand, three hundred twenty-five".