54414343225125 has 288 divisors, whose sum is σ = 116146702605024. Its totient is φ = 25212715776000.

The previous prime is 54414343225079. The next prime is 54414343225127. The reversal of 54414343225125 is 52152234341445.

54414343225125 is a `hidden beast` number, since 5 + 4 + 4 + 143 + 432 + 2 + 51 + 25 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 33897058005924 + 20517285219201 = 5822118^2 + 4529601^2 .

It is not a de Polignac number, because 54414343225125 - 2⁸ = 54414343224869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54414343225127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 181097515 + ... + 181397735.

It is an arithmetic number, because the mean of its divisors is an integer number (403287161823).

Almost surely, 2^{54414343225125} is an apocalyptic number.

It is an amenable number.

54414343225125 is an abundant number, since it is smaller than the sum of its proper divisors (61732359379899).

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

54414343225125 is an equidigital number, since it uses as much as digits as its factorization.

54414343225125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300290 (or 300259 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 54414343225125 in words is "fifty-four trillion, four hundred fourteen billion, three hundred forty-three million, two hundred twenty-five thousand, one hundred twenty-five".