248146325128 has 64 divisors (see below), whose sum is σ = 518476820400. Its totient is φ = 110551203840.

The previous prime is 248146325087. The next prime is 248146325129. The reversal of 248146325128 is 821523641842.

248146325128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 110105839684 + 138040485444 = 331822^2 + 371538^2 .

It is not an unprimeable number, because it can be changed into a prime (248146325129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15316200 + ... + 15332392.

Almost surely, 2^248146325128 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 248146325128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259238410200).

248146325128 is an abundant number, since it is smaller than the sum of its proper divisors (270330495272).

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

248146325128 is a wasteful number, since it uses less digits than its factorization.

248146325128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21322 (or 21318 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The spelling of 248146325128 in words is "two hundred forty-eight billion, one hundred forty-six million, three hundred twenty-five thousand, one hundred twenty-eight".