12075669648 has 160 divisors (see below), whose sum is σ = 40579902720. Its totient is φ = 3366005760.

The previous prime is 12075669637. The next prime is 12075669649. The reversal of 12075669648 is 84696657021.

12075669648 is a `hidden beast` number, since 12 + 0 + 7 + 566 + 9 + 64 + 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 = 12075669594 and 12075669603.

It is not an unprimeable number, because it can be changed into a prime (12075669649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75286 + ... + 172682.

It is an arithmetic number, because the mean of its divisors is an integer number (253624392).

Almost surely, 2^12075669648 is an apocalyptic number.

12075669648 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 12075669648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20289951360).

12075669648 is an abundant number, since it is smaller than the sum of its proper divisors (28504233072).

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

12075669648 is a wasteful number, since it uses less digits than its factorization.

12075669648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97462 (or 97450 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12075669648 in words is "twelve billion, seventy-five million, six hundred sixty-nine thousand, six hundred forty-eight".