12334136466144 has 24 divisors (see below), whose sum is σ = 32377108223880. Its totient is φ = 4111378822016.

The previous prime is 12334136466083. The next prime is 12334136466167. The reversal of 12334136466144 is 44166463143321.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12334136466093 and 12334136466102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64240293999 + ... + 64240294190.

It is an arithmetic number, because the mean of its divisors is an integer number (1349046175995).

Almost surely, 2^{12334136466144} is an apocalyptic number.

It is an amenable number.

12334136466144 is an abundant number, since it is smaller than the sum of its proper divisors (20042971757736).

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

12334136466144 is a wasteful number, since it uses less digits than its factorization.

12334136466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128480588202 (or 128480588194 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 12334136466144 in words is "twelve trillion, three hundred thirty-four billion, one hundred thirty-six million, four hundred sixty-six thousand, one hundred forty-four".