248268730320 has 1280 divisors, whose sum is σ = 1060732108800. Its totient is φ = 52672757760.

The previous prime is 248268730319. The next prime is 248268730331. The reversal of 248268730320 is 23037862842.

248268730320 is a `hidden beast` number, since 248 + 2 + 6 + 87 + 3 + 0 + 320 = 666.

248268730320 is digitally balanced in base 3, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 281164599 + ... + 281165481.

It is an arithmetic number, because the mean of its divisors is an integer number (828696960).

Almost surely, 2^248268730320 is an apocalyptic number.

248268730320 is a gapful number since it is divisible by the number (20) 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 248268730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530366054400).

248268730320 is an abundant number, since it is smaller than the sum of its proper divisors (812463378480).

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

248268730320 is a wasteful number, since it uses less digits than its factorization.

248268730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 248268730320 in words is "two hundred forty-eight billion, two hundred sixty-eight million, seven hundred thirty thousand, three hundred twenty".