12146164156480 has 56 divisors (see below), whose sum is σ = 30180577476672. Its totient is φ = 4647228022272.

The previous prime is 12146164156459. The next prime is 12146164156513. The reversal of 12146164156480 is 8465146164121.

12146164156480 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 3×12146164156480³ (a number of 40 digits) contains 333 as substring.

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, 825139662 + ... + 825154381.

It is an arithmetic number, because the mean of its divisors is an integer number (538938883512).

Almost surely, 2^{12146164156480} is an apocalyptic number.

12146164156480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146164156480 is an abundant number, since it is smaller than the sum of its proper divisors (18034413320192).

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

12146164156480 is a wasteful number, since it uses less digits than its factorization.

12146164156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650294083 (or 1650294073 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 12146164156480 in words is "twelve trillion, one hundred forty-six billion, one hundred sixty-four million, one hundred fifty-six thousand, four hundred eighty".