12874496544 has 288 divisors, whose sum is σ = 45200623104. Its totient is φ = 3384944640.

The previous prime is 12874496449. The next prime is 12874496587. The reversal of 12874496544 is 44569447821.

12874496544 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 4 + 4 + 96 + 544 = 666.

12874496544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12874496544² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12133774 + ... + 12134834.

It is an arithmetic number, because the mean of its divisors is an integer number (156946608).

Almost surely, 2^12874496544 is an apocalyptic number.

12874496544 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 12874496544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600311552).

12874496544 is an abundant number, since it is smaller than the sum of its proper divisors (32326126560).

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

12874496544 is a wasteful number, since it uses less digits than its factorization.

12874496544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12874496544 in words is "twelve billion, eight hundred seventy-four million, four hundred ninety-six thousand, five hundred forty-four".