167404407167142 has 96 divisors (see below), whose sum is σ = 379164775342080. Its totient is φ = 53315672230080.

The previous prime is 167404407167141. The next prime is 167404407167149. The reversal of 167404407167142 is 241761704404761.

167404407167142 is a `hidden beast` number, since 1 + 6 + 7 + 40 + 440 + 7 + 16 + 7 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167404407167141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333549983 + ... + 1333675509.

It is an arithmetic number, because the mean of its divisors is an integer number (3949633076480).

Almost surely, 2^{167404407167142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167404407167142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189582387671040).

167404407167142 is an abundant number, since it is smaller than the sum of its proper divisors (211760368174938).

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

167404407167142 is a wasteful number, since it uses less digits than its factorization.

167404407167142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155898 (or 155895 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 167404407167142 in words is "one hundred sixty-seven trillion, four hundred four billion, four hundred seven million, one hundred sixty-seven thousand, one hundred forty-two".