248649594840 has 192 divisors, whose sum is σ = 858572395200. Its totient is φ = 62289755136.

The previous prime is 248649594829. The next prime is 248649594847. The reversal of 248649594840 is 48495946842.

248649594840 is a `hidden beast` number, since 2 + 4 + 8 + 64 + 95 + 9 + 484 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248649594847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64429 + ... + 708131.

It is an arithmetic number, because the mean of its divisors is an integer number (4471731225).

Almost surely, 2^248649594840 is an apocalyptic number.

248649594840 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 248649594840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429286197600).

248649594840 is an abundant number, since it is smaller than the sum of its proper divisors (609922800360).

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

248649594840 is a wasteful number, since it uses less digits than its factorization.

248649594840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643786 (or 643779 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 248649594840 in words is "two hundred forty-eight billion, six hundred forty-nine million, five hundred ninety-four thousand, eight hundred forty".