164401414067 has 16 divisors (see below), whose sum is σ = 183764264544. Its totient is φ = 145776480000.

The previous prime is 164401414061. The next prime is 164401414097. The reversal of 164401414067 is 760414104461.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 164401414067 - 2¹⁸ = 164401151923 is a prime.

It is a super-3 number, since 3×164401414067³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164401414067.

It is not an unprimeable number, because it can be changed into a prime (164401414061) 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, 1996817 + ... + 2077517.

It is an arithmetic number, because the mean of its divisors is an integer number (11485266534).

Almost surely, 2^164401414067 is an apocalyptic number.

164401414067 is a deficient number, since it is larger than the sum of its proper divisors (19362850477).

164401414067 is a wasteful number, since it uses less digits than its factorization.

164401414067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85270.

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 164401414067 in words is "one hundred sixty-four billion, four hundred one million, four hundred fourteen thousand, sixty-seven".