248261663232 has 640 divisors, whose sum is σ = 873265536000. Its totient is φ = 68790435840.

The previous prime is 248261663171. The next prime is 248261663239. The reversal of 248261663232 is 232366162842.

248261663232 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 6 + 1 + 6 + 632 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (248261663239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83785783 + ... + 83788745.

It is an arithmetic number, because the mean of its divisors is an integer number (1364477400).

Almost surely, 2^248261663232 is an apocalyptic number.

248261663232 is a gapful number since it is divisible by the number (22) 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 248261663232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436632768000).

248261663232 is an abundant number, since it is smaller than the sum of its proper divisors (625003872768).

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

248261663232 is a wasteful number, since it uses less digits than its factorization.

248261663232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3027 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 248261663232 in words is "two hundred forty-eight billion, two hundred sixty-one million, six hundred sixty-three thousand, two hundred thirty-two".