164400679897 has 16 divisors (see below), whose sum is σ = 175673180160. Its totient is φ = 153391143312.

The previous prime is 164400679879. The next prime is 164400679901. The reversal of 164400679897 is 798976004461.

164400679897 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 164400679897 - 2⁷ = 164400679769 is a prime.

It is a super-3 number, since 3×164400679897³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164400679997) 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, 7809528 + ... + 7830550.

It is an arithmetic number, because the mean of its divisors is an integer number (10979573760).

Almost surely, 2^164400679897 is an apocalyptic number.

It is an amenable number.

164400679897 is a deficient number, since it is larger than the sum of its proper divisors (11272500263).

164400679897 is a wasteful number, since it uses less digits than its factorization.

164400679897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27252.

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 164400679897 in words is "one hundred sixty-four billion, four hundred million, six hundred seventy-nine thousand, eight hundred ninety-seven".