248832956448 has 216 divisors, whose sum is σ = 774490783248. Its totient is φ = 78577941888.

The previous prime is 248832956447. The next prime is 248832956473. The reversal of 248832956448 is 844659238842.

248832956448 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 3 + 29 + 564 + 48 = 666.

248832956448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (248832956447) 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 35 ways as a sum of consecutive naturals, for example, 2762815 + ... + 2851457.

It is an arithmetic number, because the mean of its divisors is an integer number (3585605478).

Almost surely, 2^248832956448 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 248832956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387245391624).

248832956448 is an abundant number, since it is smaller than the sum of its proper divisors (525657826800).

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

248832956448 is an equidigital number, since it uses as much as digits as its factorization.

248832956448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88706 (or 88667 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 248832956448 in words is "two hundred forty-eight billion, eight hundred thirty-two million, nine hundred fifty-six thousand, four hundred forty-eight".