248328378587125 has 16 divisors (see below), whose sum is σ = 309917853812736. Its totient is φ = 198660114834000.

The previous prime is 248328378587083. The next prime is 248328378587129. The reversal of 248328378587125 is 521785873823842.

It is not a de Polignac number, because 248328378587125 - 2³⁷ = 248190939633653 is a prime.

It is a super-3 number, since 3×248328378587125³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248328378587129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3277809 + ... + 22525558.

It is an arithmetic number, because the mean of its divisors is an integer number (19369865863296).

Almost surely, 2^{248328378587125} is an apocalyptic number.

248328378587125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248328378587125 is a deficient number, since it is larger than the sum of its proper divisors (61589475225611).

248328378587125 is an equidigital number, since it uses as much as digits as its factorization.

248328378587125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25880373 (or 25880363 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 73.

The spelling of 248328378587125 in words is "two hundred forty-eight trillion, three hundred twenty-eight billion, three hundred seventy-eight million, five hundred eighty-seven thousand, one hundred twenty-five".