12614504448 has 416 divisors, whose sum is σ = 42933945600. Its totient is φ = 3203923968.

The previous prime is 12614504431. The next prime is 12614504449. The reversal of 12614504448 is 84440541621.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×12614504448² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12614504449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32427838 + ... + 32428226.

It is an arithmetic number, because the mean of its divisors is an integer number (103206600).

Almost surely, 2^12614504448 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 12614504448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21466972800).

12614504448 is an abundant number, since it is smaller than the sum of its proper divisors (30319441152).

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

12614504448 is a wasteful number, since it uses less digits than its factorization.

12614504448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 12614504448 in words is "twelve billion, six hundred fourteen million, five hundred four thousand, four hundred forty-eight".