12646152000 has 448 divisors, whose sum is σ = 46864097280. Its totient is φ = 3338496000.

The previous prime is 12646151923. The next prime is 12646152017. The reversal of 12646152000 is 25164621.

12646152000 is a `hidden beast` number, since 1 + 2 + 646 + 15 + 2 + 0 + 0 + 0 = 666.

12646152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27431770 + ... + 27432230.

It is an arithmetic number, because the mean of its divisors is an integer number (104607360).

Almost surely, 2^12646152000 is an apocalyptic number.

12646152000 is a gapful number since it is divisible by the number (10) 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 12646152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23432048640).

12646152000 is an abundant number, since it is smaller than the sum of its proper divisors (34217945280).

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

12646152000 is a wasteful number, since it uses less digits than its factorization.

12646152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12646152000 in words is "twelve billion, six hundred forty-six million, one hundred fifty-two thousand".