2248791916801 has 8 divisors (see below), whose sum is σ = 2254019157000. Its totient is φ = 2243565649920.

The previous prime is 2248791916771. The next prime is 2248791916841. The reversal of 2248791916801 is 1086191978422.

It can be written as a sum of positive squares in 4 ways, for example, as 910087380225 + 1338704536576 = 953985^2 + 1157024^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2248791916801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2248791916841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4489681 + ... + 4965361.

It is an arithmetic number, because the mean of its divisors is an integer number (281752394625).

Almost surely, 2^{2248791916801} is an apocalyptic number.

It is an amenable number.

2248791916801 is a deficient number, since it is larger than the sum of its proper divisors (5227240199).

2248791916801 is a wasteful number, since it uses less digits than its factorization.

2248791916801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486659.

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 2248791916801 in words is "two trillion, two hundred forty-eight billion, seven hundred ninety-one million, nine hundred sixteen thousand, eight hundred one".