164056510011101 has 8 divisors (see below), whose sum is σ = 172693172570400. Its totient is φ = 155420058391920.

The previous prime is 164056510011067. The next prime is 164056510011113. The reversal of 164056510011101 is 101110015650461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164056510011101 is a prime.

It is a super-4 number, since 4×164056510011101⁴ (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164056510011181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51137366 + ... + 54250743.

It is an arithmetic number, because the mean of its divisors is an integer number (21586646571300).

Almost surely, 2^{164056510011101} is an apocalyptic number.

It is an amenable number.

164056510011101 is a deficient number, since it is larger than the sum of its proper divisors (8636662559299).

164056510011101 is a wasteful number, since it uses less digits than its factorization.

164056510011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105470059.

The product of its (nonzero) digits is 3600, while the sum is 32.

Adding to 164056510011101 its reverse (101110015650461), we get a palindrome (265166525661562).

The spelling of 164056510011101 in words is "one hundred sixty-four trillion, fifty-six billion, five hundred ten million, eleven thousand, one hundred one".