12928901664 has 144 divisors (see below), whose sum is σ = 40753310976. Its totient is φ = 3574771200.

The previous prime is 12928901647. The next prime is 12928901677. The reversal of 12928901664 is 46610982921.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 101494 + ... + 190154.

It is an arithmetic number, because the mean of its divisors is an integer number (283009104).

Almost surely, 2^12928901664 is an apocalyptic number.

12928901664 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 12928901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376655488).

12928901664 is an abundant number, since it is smaller than the sum of its proper divisors (27824409312).

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

12928901664 is a wasteful number, since it uses less digits than its factorization.

12928901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88719 (or 88704 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 12928901664 in words is "twelve billion, nine hundred twenty-eight million, nine hundred one thousand, six hundred sixty-four".