12167431145856 has 1152 divisors, whose sum is σ = 43243545945600. Its totient is φ = 3277188440064.

The previous prime is 12167431145819. The next prime is 12167431145897. The reversal of 12167431145856 is 65854113476121.

12167431145856 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 7 + 43 + 1 + 14 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39633326055 + ... + 39633326361.

It is an arithmetic number, because the mean of its divisors is an integer number (37537800300).

Almost surely, 2^{12167431145856} is an apocalyptic number.

12167431145856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12167431145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621772972800).

12167431145856 is an abundant number, since it is smaller than the sum of its proper divisors (31076114799744).

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

12167431145856 is an frugal number, since it uses more digits than its factorization.

12167431145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 431 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 12167431145856 in words is "twelve trillion, one hundred sixty-seven billion, four hundred thirty-one million, one hundred forty-five thousand, eight hundred fifty-six".