248817385680 has 160 divisors (see below), whose sum is σ = 796663676928. Its totient is φ = 64174809600.

The previous prime is 248817385667. The next prime is 248817385697. The reversal of 248817385680 is 86583718842.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14774865 + ... + 14791695.

Almost surely, 2^248817385680 is an apocalyptic number.

248817385680 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 248817385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398331838464).

248817385680 is an abundant number, since it is smaller than the sum of its proper divisors (547846291248).

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

248817385680 is a wasteful number, since it uses less digits than its factorization.

248817385680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18865 (or 18859 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 248817385680 in words is "two hundred forty-eight billion, eight hundred seventeen million, three hundred eighty-five thousand, six hundred eighty".