12605792145408 has 1872 divisors, whose sum is σ = 49745293401024. Its totient is φ = 3030185410560.

The previous prime is 12605792145379. The next prime is 12605792145421. The reversal of 12605792145408 is 80454129750621.

12605792145408 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 5 + 7 + 92 + 1 + 4 + 540 + 8 = 666.

It is a super-2 number, since 2×12605792145408² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 22631583466 + ... + 22631584022.

It is an arithmetic number, because the mean of its divisors is an integer number (26573340492).

Almost surely, 2^{12605792145408} is an apocalyptic number.

12605792145408 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 12605792145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872646700512).

12605792145408 is an abundant number, since it is smaller than the sum of its proper divisors (37139501255616).

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

12605792145408 is a wasteful number, since it uses less digits than its factorization.

12605792145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 12605792145408 in words is "twelve trillion, six hundred five billion, seven hundred ninety-two million, one hundred forty-five thousand, four hundred eight".