248308220160 has 1728 divisors, whose sum is σ = 1175735748096. Its totient is φ = 46714060800.

The previous prime is 248308220119. The next prime is 248308220261. The reversal of 248308220160 is 61022803842.

248308220160 is a `hidden beast` number, since 248 + 30 + 8 + 220 + 160 = 666.

248308220160 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 703422544 + ... + 703422896.

It is an arithmetic number, because the mean of its divisors is an integer number (680402632).

Almost surely, 2^248308220160 is an apocalyptic number.

248308220160 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 248308220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587867874048).

248308220160 is an abundant number, since it is smaller than the sum of its proper divisors (927427527936).

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

248308220160 is a wasteful number, since it uses less digits than its factorization.

248308220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 248308220160 in words is "two hundred forty-eight billion, three hundred eight million, two hundred twenty thousand, one hundred sixty".