12764488044 has 288 divisors, whose sum is σ = 38978150400. Its totient is φ = 3213302400.

The previous prime is 12764488027. The next prime is 12764488081. The reversal of 12764488044 is 44088446721.

12764488044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12764487984 and 12764488002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60495099 + ... + 60495309.

It is an arithmetic number, because the mean of its divisors is an integer number (135340800).

Almost surely, 2^12764488044 is an apocalyptic number.

12764488044 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 12764488044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489075200).

12764488044 is an abundant number, since it is smaller than the sum of its proper divisors (26213662356).

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

12764488044 is a wasteful number, since it uses less digits than its factorization.

12764488044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 12764488044 in words is "twelve billion, seven hundred sixty-four million, four hundred eighty-eight thousand, forty-four".