248792461681 has 3 divisors (see below), whose sum is σ = 248792960473. Its totient is φ = 248791962890.

The previous prime is 248792461663. The next prime is 248792461699. The reversal of 248792461681 is 186164297842.

The square root of 248792461681 is 498791.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (248792461663) and next prime (248792461699).

It is a de Polignac number, because none of the positive numbers 2^k-248792461681 is a prime.

It is a super-2 number, since 2×248792461681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248792461381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 249396 + ... + 748186.

Almost surely, 2^248792461681 is an apocalyptic number.

248792461681 is the 498791-st square number.

248792461681 is the 249396-th centered octagonal number.

It is an amenable number.

248792461681 is a deficient number, since it is larger than the sum of its proper divisors (498792).

248792461681 is an frugal number, since it uses more digits than its factorization.

248792461681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997582 (or 498791 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 58.

The spelling of 248792461681 in words is "two hundred forty-eight billion, seven hundred ninety-two million, four hundred sixty-one thousand, six hundred eighty-one".