212874375168 has 1248 divisors, whose sum is σ = 824331755520. Its totient is φ = 51385466880.

The previous prime is 212874375157. The next prime is 212874375169. The reversal of 212874375168 is 861573478212.

212874375168 is a `hidden beast` number, since 2 + 1 + 2 + 87 + 43 + 7 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

Its product of digits (4515840) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (212874375169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2391846868 + ... + 2391846956.

It is an arithmetic number, because the mean of its divisors is an integer number (660522240).

Almost surely, 2^212874375168 is an apocalyptic number.

212874375168 is a gapful number since it is divisible by the number (28) 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 212874375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412165877760).

212874375168 is an abundant number, since it is smaller than the sum of its proper divisors (611457380352).

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

212874375168 is a wasteful number, since it uses less digits than its factorization.

212874375168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 212874375168 in words is "two hundred twelve billion, eight hundred seventy-four million, three hundred seventy-five thousand, one hundred sixty-eight".