12646873632 has 96 divisors (see below), whose sum is σ = 35388057600. Its totient is φ = 3943150848.

The previous prime is 12646873627. The next prime is 12646873637. The reversal of 12646873632 is 23637864621.

It is an interprime number because it is at equal distance from previous prime (12646873627) and next prime (12646873637).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12646873637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100213 + ... + 187979.

It is an arithmetic number, because the mean of its divisors is an integer number (368625600).

Almost surely, 2^12646873632 is an apocalyptic number.

12646873632 is a gapful number since it is divisible by the number (12) 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 12646873632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694028800).

12646873632 is an abundant number, since it is smaller than the sum of its proper divisors (22741183968).

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

12646873632 is a wasteful number, since it uses less digits than its factorization.

12646873632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87878 (or 87870 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 12646873632 in words is "twelve billion, six hundred forty-six million, eight hundred seventy-three thousand, six hundred thirty-two".