167401117872 has 30 divisors (see below), whose sum is σ = 468490628892. Its totient is φ = 55800372576.

The previous prime is 167401117823. The next prime is 167401117883. The reversal of 167401117872 is 278711104761.

167401117872 is a `hidden beast` number, since 1 + 6 + 7 + 401 + 1 + 178 + 72 = 666.

167401117872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 581253738 + ... + 581254025.

Almost surely, 2^167401117872 is an apocalyptic number.

167401117872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167401117872 is an abundant number, since it is smaller than the sum of its proper divisors (301089511020).

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

167401117872 is a wasteful number, since it uses less digits than its factorization.

167401117872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162507777 (or 1162507768 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 167401117872 in words is "one hundred sixty-seven billion, four hundred one million, one hundred seventeen thousand, eight hundred seventy-two".