248157247842 has 96 divisors (see below), whose sum is σ = 624791756160. Its totient is φ = 69718682880.

The previous prime is 248157247823. The next prime is 248157247843. The reversal of 248157247842 is 248742751842.

248157247842 is a `hidden beast` number, since 2 + 4 + 81 + 57 + 2 + 478 + 42 = 666.

248157247842 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 (248157247843) 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 47 ways as a sum of consecutive naturals, for example, 3003784 + ... + 3085292.

It is an arithmetic number, because the mean of its divisors is an integer number (6508247460).

Almost surely, 2^248157247842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248157247842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312395878080).

248157247842 is an abundant number, since it is smaller than the sum of its proper divisors (376634508318).

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

248157247842 is a wasteful number, since it uses less digits than its factorization.

248157247842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81928 (or 81925 counting only the distinct ones).

The product of its digits is 8028160, while the sum is 54.

The spelling of 248157247842 in words is "two hundred forty-eight billion, one hundred fifty-seven million, two hundred forty-seven thousand, eight hundred forty-two".