248282287344 has 720 divisors, whose sum is σ = 955967751648. Its totient is φ = 61618765824.

The previous prime is 248282287339. The next prime is 248282287349. The reversal of 248282287344 is 443782282842.

248282287344 is a `hidden beast` number, since 2 + 48 + 282 + 287 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (248282287339) and next prime (248282287349).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248282287349) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42100204 + ... + 42106100.

Almost surely, 2^248282287344 is an apocalyptic number.

248282287344 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 248282287344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477983875824).

248282287344 is an abundant number, since it is smaller than the sum of its proper divisors (707685464304).

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

248282287344 is a wasteful number, since it uses less digits than its factorization.

248282287344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5939 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 248282287344 in words is "two hundred forty-eight billion, two hundred eighty-two million, two hundred eighty-seven thousand, three hundred forty-four".