12903564744 has 288 divisors, whose sum is σ = 42340147200. Its totient is φ = 3535902720.

The previous prime is 12903564701. The next prime is 12903564763. The reversal of 12903564744 is 44746530921.

12903564744 is a `hidden beast` number, since 1 + 290 + 356 + 4 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12903564744.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 13889272 + ... + 13890200.

It is an arithmetic number, because the mean of its divisors is an integer number (147014400).

Almost surely, 2^12903564744 is an apocalyptic number.

12903564744 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 12903564744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170073600).

12903564744 is an abundant number, since it is smaller than the sum of its proper divisors (29436582456).

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

12903564744 is a wasteful number, since it uses less digits than its factorization.

12903564744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12903564744 in words is "twelve billion, nine hundred three million, five hundred sixty-four thousand, seven hundred forty-four".