248539764312 has 576 divisors, whose sum is σ = 887708989440. Its totient is φ = 64665216000.

The previous prime is 248539764223. The next prime is 248539764383. The reversal of 248539764312 is 213467935842.

248539764312 is a `hidden beast` number, since 2 + 4 + 8 + 539 + 76 + 4 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 50197437 + ... + 50202387.

It is an arithmetic number, because the mean of its divisors is an integer number (1541161440).

Almost surely, 2^248539764312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248539764312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443854494720).

248539764312 is an abundant number, since it is smaller than the sum of its proper divisors (639169225128).

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

248539764312 is a wasteful number, since it uses less digits than its factorization.

248539764312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5011 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 248539764312 in words is "two hundred forty-eight billion, five hundred thirty-nine million, seven hundred sixty-four thousand, three hundred twelve".