248466918728340 has 768 divisors, whose sum is σ = 891558226944000. Its totient is φ = 56933085081600.

The previous prime is 248466918728299. The next prime is 248466918728377. The reversal of 248466918728340 is 43827819664842.

248466918728340 is a `hidden beast` number, since 2 + 4 + 8 + 46 + 69 + 187 + 2 + 8 + 340 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20074884232 + ... + 20074896608.

It is an arithmetic number, because the mean of its divisors is an integer number (1160883108000).

Almost surely, 2^{248466918728340} is an apocalyptic number.

248466918728340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248466918728340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445779113472000).

248466918728340 is an abundant number, since it is smaller than the sum of its proper divisors (643091308215660).

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

248466918728340 is a wasteful number, since it uses less digits than its factorization.

248466918728340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15037 (or 15029 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 248466918728340 in words is "two hundred forty-eight trillion, four hundred sixty-six billion, nine hundred eighteen million, seven hundred twenty-eight thousand, three hundred forty".