12146351206344 has 32 divisors (see below), whose sum is σ = 32152106135520. Its totient is φ = 3810619986176.

The previous prime is 12146351206307. The next prime is 12146351206357. The reversal of 12146351206344 is 44360215364121.

12146351206344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12146351206344³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12146351206296 and 12146351206305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14885233914 + ... + 14885234729.

It is an arithmetic number, because the mean of its divisors is an integer number (1004753316735).

Almost surely, 2^{12146351206344} is an apocalyptic number.

It is an amenable number.

12146351206344 is an abundant number, since it is smaller than the sum of its proper divisors (20005754929176).

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

12146351206344 is a wasteful number, since it uses less digits than its factorization.

12146351206344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29770468669 (or 29770468665 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12146351206344 in words is "twelve trillion, one hundred forty-six billion, three hundred fifty-one million, two hundred six thousand, three hundred forty-four".