12652356864 has 288 divisors, whose sum is σ = 40270397440. Its totient is φ = 3454064640.

The previous prime is 12652356863. The next prime is 12652356883. The reversal of 12652356864 is 46865325621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12652356863) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160156377 + ... + 160156455.

Almost surely, 2^12652356864 is an apocalyptic number.

12652356864 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 12652356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20135198720).

12652356864 is an abundant number, since it is smaller than the sum of its proper divisors (27618040576).

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

12652356864 is an frugal number, since it uses more digits than its factorization.

12652356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 122 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 12652356864 in words is "twelve billion, six hundred fifty-two million, three hundred fifty-six thousand, eight hundred sixty-four".