12088584648 has 384 divisors, whose sum is σ = 40015422720. Its totient is φ = 3224862720.

The previous prime is 12088584631. The next prime is 12088584671. The reversal of 12088584648 is 84648588021.

12088584648 is a `hidden beast` number, since 12 + 0 + 8 + 8 + 584 + 6 + 48 = 666.

It is a super-2 number, since 2×12088584648² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12088584594 and 12088584603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74163015 + ... + 74163177.

It is an arithmetic number, because the mean of its divisors is an integer number (104206830).

Almost surely, 2^12088584648 is an apocalyptic number.

12088584648 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 12088584648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007711360).

12088584648 is an abundant number, since it is smaller than the sum of its proper divisors (27926838072).

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

12088584648 is a wasteful number, since it uses less digits than its factorization.

12088584648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 12088584648 in words is "twelve billion, eighty-eight million, five hundred eighty-four thousand, six hundred forty-eight".