248948380801 has 2 divisors, whose sum is σ = 248948380802. Its totient is φ = 248948380800.

The previous prime is 248948380781. The next prime is 248948380843. The reversal of 248948380801 is 108083849842.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241252880625 + 7695500176 = 491175^2 + 87724^2 .

It is a cyclic number.

It is not a de Polignac number, because 248948380801 - 2¹⁷ = 248948249729 is a prime.

It is not a weakly prime, because it can be changed into another prime (248948380871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124474190400 + 124474190401.

It is an arithmetic number, because the mean of its divisors is an integer number (124474190401).

Almost surely, 2^248948380801 is an apocalyptic number.

It is an amenable number.

248948380801 is a deficient number, since it is larger than the sum of its proper divisors (1).

248948380801 is an equidigital number, since it uses as much as digits as its factorization.

248948380801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 248948380801 in words is "two hundred forty-eight billion, nine hundred forty-eight million, three hundred eighty thousand, eight hundred one".