164131412401 has 8 divisors (see below), whose sum is σ = 179060663808. Its totient is φ = 149203530000.

The previous prime is 164131412399. The next prime is 164131412407. The reversal of 164131412401 is 104214131461.

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

It is a cyclic number.

It is not a de Polignac number, because 164131412401 - 2¹ = 164131412399 is a prime.

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 164131412401.

It is not an unprimeable number, because it can be changed into a prime (164131412407) 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, 83025 + ... + 578926.

It is an arithmetic number, because the mean of its divisors is an integer number (22382582976).

Almost surely, 2^164131412401 is an apocalyptic number.

164131412401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164131412401 is a deficient number, since it is larger than the sum of its proper divisors (14929251407).

164131412401 is a wasteful number, since it uses less digits than its factorization.

164131412401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684503.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 164131412401 its reverse (104214131461), we get a palindrome (268345543862).

The spelling of 164131412401 in words is "one hundred sixty-four billion, one hundred thirty-one million, four hundred twelve thousand, four hundred one".