248979433515121 has 24 divisors (see below), whose sum is σ = 263437114185000. Its totient is φ = 235265967121152.

The previous prime is 248979433515103. The next prime is 248979433515133. The reversal of 248979433515121 is 121515334979842.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39485652305121 + 209493781210000 = 6283761^2 + 14473900^2 .

It is not a de Polignac number, because 248979433515121 - 2¹⁷ = 248979433384049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248979433575121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49828555 + ... + 54597103.

It is an arithmetic number, because the mean of its divisors is an integer number (10976546424375).

Almost surely, 2^{248979433515121} is an apocalyptic number.

It is an amenable number.

248979433515121 is a deficient number, since it is larger than the sum of its proper divisors (14457680669879).

248979433515121 is a wasteful number, since it uses less digits than its factorization.

248979433515121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769793 (or 4769770 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

The spelling of 248979433515121 in words is "two hundred forty-eight trillion, nine hundred seventy-nine billion, four hundred thirty-three million, five hundred fifteen thousand, one hundred twenty-one".