54582541247248 has 320 divisors, whose sum is σ = 128255059722240. Its totient is φ = 22011892531200.

The previous prime is 54582541247243. The next prime is 54582541247281. The reversal of 54582541247248 is 84274214528545.

It is a happy number.

54582541247248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54582541247243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33965488461 + ... + 33965490067.

It is an arithmetic number, because the mean of its divisors is an integer number (400797061632).

Almost surely, 2^{54582541247248} 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 54582541247248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64127529861120).

54582541247248 is an abundant number, since it is smaller than the sum of its proper divisors (73672518474992).

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

54582541247248 is a wasteful number, since it uses less digits than its factorization.

54582541247248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3240 counting only the distinct ones).

The product of its digits is 114688000, while the sum is 61.

The spelling of 54582541247248 in words is "fifty-four trillion, five hundred eighty-two billion, five hundred forty-one million, two hundred forty-seven thousand, two hundred forty-eight".