248779680048 has 160 divisors (see below), whose sum is σ = 717878219520. Its totient is φ = 82487808000.

The previous prime is 248779680043. The next prime is 248779680089. The reversal of 248779680048 is 840086977842.

248779680048 is a `hidden beast` number, since 2 + 487 + 79 + 6 + 80 + 0 + 4 + 8 = 666.

248779680048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248779680041) by changing a digit.

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, 76522423 + ... + 76525673.

It is an arithmetic number, because the mean of its divisors is an integer number (4486738872).

Almost surely, 2^248779680048 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 248779680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358939109760).

248779680048 is an abundant number, since it is smaller than the sum of its proper divisors (469098539472).

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

248779680048 is a wasteful number, since it uses less digits than its factorization.

248779680048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 248779680048 in words is "two hundred forty-eight billion, seven hundred seventy-nine million, six hundred eighty thousand, forty-eight".