667112056416 has 288 divisors, whose sum is σ = 2154418287840. Its totient is φ = 194112847872.

The previous prime is 667112056393. The next prime is 667112056417. The reversal of 667112056416 is 614650211766.

667112056416 is a `hidden beast` number, since 6 + 6 + 71 + 1 + 2 + 0 + 564 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667112056417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41037346 + ... + 41053598.

It is an arithmetic number, because the mean of its divisors is an integer number (7480619055).

Almost surely, 2^667112056416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667112056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077209143920).

667112056416 is an abundant number, since it is smaller than the sum of its proper divisors (1487306231424).

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

667112056416 is a wasteful number, since it uses less digits than its factorization.

667112056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16867 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 667112056416 in words is "six hundred sixty-seven billion, one hundred twelve million, fifty-six thousand, four hundred sixteen".