248004996001 has 9 divisors (see below), whose sum is σ = 288499662801. Its totient is φ = 212572722852.

The previous prime is 248004995989. The next prime is 248004996067. The reversal of 248004996001 is 100699400842.

The square root of 248004996001 is 498001.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 248004996001 - 2⁵ = 248004995969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248004996101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3450436 + ... + 3521578.

It is an arithmetic number, because the mean of its divisors is an integer number (32055518089).

Almost surely, 2^248004996001 is an apocalyptic number.

248004996001 is the 498001-st square number.

248004996001 is the 249001-st centered octagonal number.

It is an amenable number.

248004996001 is a deficient number, since it is larger than the sum of its proper divisors (40494666800).

248004996001 is an frugal number, since it uses more digits than its factorization.

248004996001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142300 (or 71150 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 248004996001 in words is "two hundred forty-eight billion, four million, nine hundred ninety-six thousand, one".