12008239746048 has 440 divisors, whose sum is σ = 44134121965472. Its totient is φ = 3167006294016.

The previous prime is 12008239746037. The next prime is 12008239746059. The reversal of 12008239746048 is 84064793280021.

12008239746048 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 23 + 9 + 7 + 4 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12008239746037) and next prime (12008239746059).

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 = 12008239745985 and 12008239746003.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6752436 + ... + 8343372.

Almost surely, 2^{12008239746048} is an apocalyptic number.

12008239746048 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 12008239746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22067060982736).

12008239746048 is an abundant number, since it is smaller than the sum of its proper divisors (32125882219424).

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

12008239746048 is a wasteful number, since it uses less digits than its factorization.

12008239746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590989 (or 1590962 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 12008239746048 in words is "twelve trillion, eight billion, two hundred thirty-nine million, seven hundred forty-six thousand, forty-eight".