248282042040360 has 448 divisors, whose sum is σ = 859133795924880. Its totient is φ = 64508138311680.

The previous prime is 248282042040233. The next prime is 248282042040407. The reversal of 248282042040360 is 63040240282842.

248282042040360 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 82 + 0 + 4 + 204 + 0 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 128354443327044 + 119927598713316 = 11329362^2 + 10951146^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 904901754 + ... + 905176086.

Almost surely, 2^{248282042040360} is an apocalyptic number.

248282042040360 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 248282042040360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429566897962440).

248282042040360 is an abundant number, since it is smaller than the sum of its proper divisors (610851753884520).

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

248282042040360 is a wasteful number, since it uses less digits than its factorization.

248282042040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275160 (or 275141 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 248282042040360 in words is "two hundred forty-eight trillion, two hundred eighty-two billion, forty-two million, forty thousand, three hundred sixty".