12381346177761 has 16 divisors (see below), whose sum is σ = 18009518139648. Its totient is φ = 7503726445200.

The previous prime is 12381346177757. The next prime is 12381346177777. The reversal of 12381346177761 is 16777164318321.

It is not a de Polignac number, because 12381346177761 - 2² = 12381346177757 is a prime.

It is a super-4 number, since 4×12381346177761⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12381346177741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870955 + ... + 5051856.

It is an arithmetic number, because the mean of its divisors is an integer number (1125594883728).

Almost surely, 2^{12381346177761} is an apocalyptic number.

12381346177761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12381346177761 is a deficient number, since it is larger than the sum of its proper divisors (5628171961887).

12381346177761 is a wasteful number, since it uses less digits than its factorization.

12381346177761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986172.

The product of its digits is 7112448, while the sum is 57.

The spelling of 12381346177761 in words is "twelve trillion, three hundred eighty-one billion, three hundred forty-six million, one hundred seventy-seven thousand, seven hundred sixty-one".