248754572736 has 224 divisors, whose sum is σ = 686772043776. Its totient is φ = 79377408000.

The previous prime is 248754572719. The next prime is 248754572749. The reversal of 248754572736 is 637275457842.

248754572736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248754572736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251013201 + ... + 251014191.

It is an arithmetic number, because the mean of its divisors is an integer number (3065946624).

Almost surely, 2^248754572736 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 248754572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343386021888).

248754572736 is an abundant number, since it is smaller than the sum of its proper divisors (438017471040).

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

248754572736 is a wasteful number, since it uses less digits than its factorization.

248754572736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1441 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 60.

The spelling of 248754572736 in words is "two hundred forty-eight billion, seven hundred fifty-four million, five hundred seventy-two thousand, seven hundred thirty-six".