12928454064 has 100 divisors (see below), whose sum is σ = 37518852360. Its totient is φ = 4297950720.

The previous prime is 12928454053. The next prime is 12928454087. The reversal of 12928454064 is 46045482921.

It is a happy number.

12928454064 is a `hidden beast` number, since 1 + 29 + 2 + 84 + 540 + 6 + 4 = 666.

It is a super-3 number, since 3×12928454064³ (a number of 31 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 478024 + ... + 504344.

Almost surely, 2^12928454064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12928454064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759426180).

12928454064 is an abundant number, since it is smaller than the sum of its proper divisors (24590398296).

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

12928454064 is a wasteful number, since it uses less digits than its factorization.

12928454064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26720 (or 26705 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12928454064 in words is "twelve billion, nine hundred twenty-eight million, four hundred fifty-four thousand, sixty-four".