248254228001 has 12 divisors (see below), whose sum is σ = 280507483008. Its totient is φ = 219194365104.

The previous prime is 248254227989. The next prime is 248254228021. The reversal of 248254228001 is 100822452842.

248254228001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248254228001 - 2¹⁴ = 248254211617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248254228021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31930025 + ... + 31937798.

It is an arithmetic number, because the mean of its divisors is an integer number (23375623584).

Almost surely, 2^248254228001 is an apocalyptic number.

It is an amenable number.

248254228001 is a deficient number, since it is larger than the sum of its proper divisors (32253255007).

248254228001 is a wasteful number, since it uses less digits than its factorization.

248254228001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63867872 (or 63867859 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 38.

The spelling of 248254228001 in words is "two hundred forty-eight billion, two hundred fifty-four million, two hundred twenty-eight thousand, one".