12832452864 has 1008 divisors, whose sum is σ = 51473479680. Its totient is φ = 3090493440.

The previous prime is 12832452851. The next prime is 12832452869. The reversal of 12832452864 is 46825423821.

12832452864 is a `hidden beast` number, since 128 + 3 + 245 + 286 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (12832452869) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 273030889 + ... + 273030935.

It is an arithmetic number, because the mean of its divisors is an integer number (51064960).

Almost surely, 2^12832452864 is an apocalyptic number.

12832452864 is a gapful number since it is divisible by the number (14) 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 12832452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736739840).

12832452864 is an abundant number, since it is smaller than the sum of its proper divisors (38641026816).

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

12832452864 is an equidigital number, since it uses as much as digits as its factorization.

12832452864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 12832452864 in words is "twelve billion, eight hundred thirty-two million, four hundred fifty-two thousand, eight hundred sixty-four".