164404653210511 has 32 divisors (see below), whose sum is σ = 196503365634048. Its totient is φ = 134486764093440.

The previous prime is 164404653210509. The next prime is 164404653210607. The reversal of 164404653210511 is 115012356404461.

It is a cyclic number.

It is not a de Polignac number, because 164404653210511 - 2¹ = 164404653210509 is a prime.

It is a super-3 number, since 3×164404653210511³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404653210311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130143566 + ... + 1130289028.

It is an arithmetic number, because the mean of its divisors is an integer number (6140730176064).

Almost surely, 2^{164404653210511} is an apocalyptic number.

164404653210511 is a deficient number, since it is larger than the sum of its proper divisors (32098712423537).

164404653210511 is a wasteful number, since it uses less digits than its factorization.

164404653210511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161311.

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 164404653210511 in words is "one hundred sixty-four trillion, four hundred four billion, six hundred fifty-three million, two hundred ten thousand, five hundred eleven".