1429164664167 has 16 divisors (see below), whose sum is σ = 1951152772608. Its totient is φ = 930237070560.

The previous prime is 1429164664141. The next prime is 1429164664199. The reversal of 1429164664167 is 7614664619241.

It is a happy number.

It is not a de Polignac number, because 1429164664167 - 2¹¹ = 1429164662119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429164654167) 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 15 ways as a sum of consecutive naturals, for example, 32549388 + ... + 32593265.

It is an arithmetic number, because the mean of its divisors is an integer number (121947048288).

Almost surely, 2^{1429164664167} is an apocalyptic number.

1429164664167 is a deficient number, since it is larger than the sum of its proper divisors (521988108441).

1429164664167 is a wasteful number, since it uses less digits than its factorization.

1429164664167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65142830.

The product of its digits is 10450944, while the sum is 57.

The spelling of 1429164664167 in words is "one trillion, four hundred twenty-nine billion, one hundred sixty-four million, six hundred sixty-four thousand, one hundred sixty-seven".