164185429049 has 16 divisors (see below), whose sum is σ = 173594762880. Its totient is φ = 154854374400.

The previous prime is 164185429039. The next prime is 164185429081. The reversal of 164185429049 is 940924581461.

164185429049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164185429049 - 2²⁸ = 163916993593 is a prime.

It is a super-2 number, since 2×164185429049² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164185429039) 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, 4069124 + ... + 4109274.

It is an arithmetic number, because the mean of its divisors is an integer number (10849672680).

Almost surely, 2^164185429049 is an apocalyptic number.

164185429049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

164185429049 is a deficient number, since it is larger than the sum of its proper divisors (9409333831).

164185429049 is a wasteful number, since it uses less digits than its factorization.

164185429049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41120.

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 164185429049 in words is "one hundred sixty-four billion, one hundred eighty-five million, four hundred twenty-nine thousand, forty-nine".