12626574816 has 96 divisors (see below), whose sum is σ = 33969051648. Its totient is φ = 4104819200.

The previous prime is 12626574767. The next prime is 12626574827. The reversal of 12626574816 is 61847562621.

12626574816 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 (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1317241 + ... + 1326791.

It is an arithmetic number, because the mean of its divisors is an integer number (353844288).

Almost surely, 2^12626574816 is an apocalyptic number.

12626574816 is a gapful number since it is divisible by the number (16) 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 12626574816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984525824).

12626574816 is an abundant number, since it is smaller than the sum of its proper divisors (21342476832).

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

12626574816 is a wasteful number, since it uses less digits than its factorization.

12626574816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9896 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 12626574816 in words is "twelve billion, six hundred twenty-six million, five hundred seventy-four thousand, eight hundred sixteen".