248872346664 has 128 divisors (see below), whose sum is σ = 647801763840. Its totient is φ = 79624566272.

The previous prime is 248872346641. The next prime is 248872346669. The reversal of 248872346664 is 466643278842.

248872346664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248872346598 and 248872346607.

It is not an unprimeable number, because it can be changed into a prime (248872346669) 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 31 ways as a sum of consecutive naturals, for example, 12816787 + ... + 12836189.

It is an arithmetic number, because the mean of its divisors is an integer number (5060951280).

Almost surely, 2^248872346664 is an apocalyptic number.

248872346664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248872346664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323900881920).

248872346664 is an abundant number, since it is smaller than the sum of its proper divisors (398929417176).

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

248872346664 is a wasteful number, since it uses less digits than its factorization.

248872346664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19679 (or 19675 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 60.

The spelling of 248872346664 in words is "two hundred forty-eight billion, eight hundred seventy-two million, three hundred forty-six thousand, six hundred sixty-four".