248665487823872 has 704 divisors, whose sum is σ = 630224359833600. Its totient is φ = 95614339645440.

The previous prime is 248665487823847. The next prime is 248665487823911. The reversal of 248665487823872 is 278328784566842.

It is a Smith number, since the sum of its digits (80) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144488951972 + ... + 144488953692.

Almost surely, 2^{248665487823872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248665487823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315112179916800).

248665487823872 is an abundant number, since it is smaller than the sum of its proper divisors (381558872009728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248665487823872 is a wasteful number, since it uses less digits than its factorization.

248665487823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2204 counting only the distinct ones).

The product of its digits is 13872660480, while the sum is 80.

The spelling of 248665487823872 in words is "two hundred forty-eight trillion, six hundred sixty-five billion, four hundred eighty-seven million, eight hundred twenty-three thousand, eight hundred seventy-two".