12605346164736 has 416 divisors, whose sum is σ = 40420291520000. Its totient is φ = 3858990170112.

The previous prime is 12605346164731. The next prime is 12605346164759. The reversal of 12605346164736 is 63746164350621.

12605346164736 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 53 + 461 + 64 + 73 + 6 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (12605346164731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286079475 + ... + 286123533.

Almost surely, 2^{12605346164736} is an apocalyptic number.

12605346164736 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 12605346164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210145760000).

12605346164736 is an abundant number, since it is smaller than the sum of its proper divisors (27814945355264).

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

12605346164736 is a wasteful number, since it uses less digits than its factorization.

12605346164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44304 (or 44276 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 12605346164736 in words is "twelve trillion, six hundred five billion, three hundred forty-six million, one hundred sixty-four thousand, seven hundred thirty-six".