164007419151 has 16 divisors (see below), whose sum is σ = 231652016000. Its totient is φ = 102923859168.

The previous prime is 164007419123. The next prime is 164007419159. The reversal of 164007419151 is 151914700461.

It is not a de Polignac number, because 164007419151 - 2²⁹ = 163470548239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164007419159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9154501 + ... + 9172398.

It is an arithmetic number, because the mean of its divisors is an integer number (14478251000).

Almost surely, 2^164007419151 is an apocalyptic number.

164007419151 is a deficient number, since it is larger than the sum of its proper divisors (67644596849).

164007419151 is a wasteful number, since it uses less digits than its factorization.

164007419151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18327078.

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 164007419151 in words is "one hundred sixty-four billion, seven million, four hundred nineteen thousand, one hundred fifty-one".