1248567114401 has 2 divisors, whose sum is σ = 1248567114402. Its totient is φ = 1248567114400.

The previous prime is 1248567114397. The next prime is 1248567114413. The reversal of 1248567114401 is 1044117658421.

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., 660928350625 + 587638763776 = 812975^2 + 766576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1248567114401 - 2² = 1248567114397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1248567114481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 624283557200 + 624283557201.

It is an arithmetic number, because the mean of its divisors is an integer number (624283557201).

Almost surely, 2^{1248567114401} is an apocalyptic number.

It is an amenable number.

1248567114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1248567114401 is an equidigital number, since it uses as much as digits as its factorization.

1248567114401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 1248567114401 in words is "one trillion, two hundred forty-eight billion, five hundred sixty-seven million, one hundred fourteen thousand, four hundred one".