248048293703401 has 27 divisors (see below), whose sum is σ = 260964590907447. Its totient is φ = 235751849071200.

The previous prime is 248048293703389. The next prime is 248048293703407. The reversal of 248048293703401 is 104307392840842.

The square root of 248048293703401 is 15749549.

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

It can be written as a sum of positive squares in only one way, i.e., 14083125057001 + 233965168646400 = 3752749^2 + 15295920^2 .

It is not a de Polignac number, because 248048293703401 - 2²⁹ = 248047756832489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248048293703407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59045057101 + ... + 59045061301.

Almost surely, 2^{248048293703401} is an apocalyptic number.

248048293703401 is the 15749549-th square number.

248048293703401 is the 7874775-th centered octagonal number.

It is an amenable number.

248048293703401 is a deficient number, since it is larger than the sum of its proper divisors (12916297204046).

248048293703401 is an frugal number, since it uses more digits than its factorization.

248048293703401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 248048293703401 in words is "two hundred forty-eight trillion, forty-eight billion, two hundred ninety-three million, seven hundred three thousand, four hundred one".