248157247841 has 32 divisors (see below), whose sum is σ = 270232359936. Its totient is φ = 227380608000.

The previous prime is 248157247823. The next prime is 248157247843. The reversal of 248157247841 is 148742751842.

248157247841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 248157247841 - 2¹⁴ = 248157231457 is a prime.

It is a super-2 number, since 2×248157247841² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 8566061 + ... + 8594981.

It is an arithmetic number, because the mean of its divisors is an integer number (8444761248).

Almost surely, 2^248157247841 is an apocalyptic number.

It is an amenable number.

248157247841 is a deficient number, since it is larger than the sum of its proper divisors (22075112095).

248157247841 is a wasteful number, since it uses less digits than its factorization.

248157247841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29193.

The product of its digits is 4014080, while the sum is 53.

The spelling of 248157247841 in words is "two hundred forty-eight billion, one hundred fifty-seven million, two hundred forty-seven thousand, eight hundred forty-one".