248009989656 has 160 divisors (see below), whose sum is σ = 734500090800. Its totient is φ = 69372145920.

The previous prime is 248009989637. The next prime is 248009989723. The reversal of 248009989656 is 656989900842.

248009989656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4540846 + ... + 4595138.

Almost surely, 2^248009989656 is an apocalyptic number.

248009989656 is a gapful number since it is divisible by the number (26) 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 248009989656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367250045400).

248009989656 is an abundant number, since it is smaller than the sum of its proper divisors (486490101144).

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

248009989656 is a wasteful number, since it uses less digits than its factorization.

248009989656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54359 (or 54322 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 248009989656 in words is "two hundred forty-eight billion, nine million, nine hundred eighty-nine thousand, six hundred fifty-six".