12340588308048 has 1920 divisors, whose sum is σ = 51975644774400. Its totient is φ = 2711907993600.

The previous prime is 12340588308031. The next prime is 12340588308071. The reversal of 12340588308048 is 84080388504321.

12340588308048 is a `hidden beast` number, since 1 + 23 + 4 + 0 + 588 + 30 + 8 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12340588307985 and 12340588308003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3311129961 + ... + 3311133687.

It is an arithmetic number, because the mean of its divisors is an integer number (27070648320).

Almost surely, 2^{12340588308048} is an apocalyptic number.

12340588308048 is a gapful number since it is divisible by the number (18) 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 12340588308048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25987822387200).

12340588308048 is an abundant number, since it is smaller than the sum of its proper divisors (39635056466352).

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

12340588308048 is a wasteful number, since it uses less digits than its factorization.

12340588308048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 12340588308048 in words is "twelve trillion, three hundred forty billion, five hundred eighty-eight million, three hundred eight thousand, forty-eight".