12609956448 has 384 divisors, whose sum is σ = 41063500800. Its totient is φ = 3744423936.

The previous prime is 12609956419. The next prime is 12609956467. The reversal of 12609956448 is 84465990621.

12609956448 is a `hidden beast` number, since 1 + 2 + 60 + 99 + 56 + 448 = 666.

It is a super-2 number, since 2×12609956448² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12609956394 and 12609956403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55065198 + ... + 55065426.

It is an arithmetic number, because the mean of its divisors is an integer number (106936200).

Almost surely, 2^12609956448 is an apocalyptic number.

12609956448 is a gapful number since it is divisible by the number (18) 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 12609956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20531750400).

12609956448 is an abundant number, since it is smaller than the sum of its proper divisors (28453544352).

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

12609956448 is a wasteful number, since it uses less digits than its factorization.

12609956448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12609956448 in words is "twelve billion, six hundred nine million, nine hundred fifty-six thousand, four hundred forty-eight".