248750989632 has 224 divisors, whose sum is σ = 764204313600. Its totient is φ = 80240855040.

The previous prime is 248750989559. The next prime is 248750989651. The reversal of 248750989632 is 236989057842.

248750989632 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 509 + 8 + 96 + 32 = 666.

248750989632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 248750989632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4310344 + ... + 4367672.

It is an arithmetic number, because the mean of its divisors is an integer number (3411626400).

Almost surely, 2^248750989632 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 248750989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382102156800).

248750989632 is an abundant number, since it is smaller than the sum of its proper divisors (515453323968).

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

248750989632 is an frugal number, since it uses more digits than its factorization.

248750989632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57393 (or 57365 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 248750989632 in words is "two hundred forty-eight billion, seven hundred fifty million, nine hundred eighty-nine thousand, six hundred thirty-two".