164113311461 has 8 divisors (see below), whose sum is σ = 181554291648. Its totient is φ = 147092596000.

The previous prime is 164113311449. The next prime is 164113311469.

164113311461 is nontrivially palindromic in base 10.

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-164113311461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164113311469) 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, 105065360 + ... + 105066921.

It is an arithmetic number, because the mean of its divisors is an integer number (22694286456).

Almost surely, 2^164113311461 is an apocalyptic number.

164113311461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164113311461 is a deficient number, since it is larger than the sum of its proper divisors (17440980187).

164113311461 is a wasteful number, since it uses less digits than its factorization.

164113311461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210132363.

The product of its digits is 5184, while the sum is 32.

It can be divided in two parts, 164113 and 311461, that added together give a palindrome (475574).

The spelling of 164113311461 in words is "one hundred sixty-four billion, one hundred thirteen million, three hundred eleven thousand, four hundred sixty-one".