12381346177705 has 32 divisors (see below), whose sum is σ = 15469849153440. Its totient is φ = 9501377034240.

The previous prime is 12381346177649. The next prime is 12381346177709. The reversal of 12381346177705 is 50777164318321.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2791652838976 + 9589693338729 = 1670824^2 + 3096723^2 .

It is not a de Polignac number, because 12381346177705 - 2²³ = 12381337789097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12381346177709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200779237 + ... + 200840893.

It is an arithmetic number, because the mean of its divisors is an integer number (483432786045).

Almost surely, 2^{12381346177705} is an apocalyptic number.

It is an amenable number.

12381346177705 is a deficient number, since it is larger than the sum of its proper divisors (3088502975735).

12381346177705 is a wasteful number, since it uses less digits than its factorization.

12381346177705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70669.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 12381346177705 in words is "twelve trillion, three hundred eighty-one billion, three hundred forty-six million, one hundred seventy-seven thousand, seven hundred five".