164267279401 has 3 divisors (see below), whose sum is σ = 164267684701. Its totient is φ = 164266874102.

The previous prime is 164267279389. The next prime is 164267279411. The reversal of 164267279401 is 104972762461.

It is a happy number.

The square root of 164267279401 is 405299.

It is a perfect power (a square), and thus also a powerful number.

164267279401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 104972762461 = 7 ⋅14996108923.

It is not a de Polignac number, because 164267279401 - 2¹¹ = 164267277353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164267279411) 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 2 ways as a sum of consecutive naturals, for example, 202650 + ... + 607948.

Almost surely, 2^164267279401 is an apocalyptic number.

164267279401 is the 405299-th square number.

164267279401 is the 202650-th centered octagonal number.

It is an amenable number.

164267279401 is a deficient number, since it is larger than the sum of its proper divisors (405300).

164267279401 is an frugal number, since it uses more digits than its factorization.

164267279401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810598 (or 405299 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 164267279401 by its sum of digits (49), we get a square (8049096690649 = 2837093²).

The spelling of 164267279401 in words is "one hundred sixty-four billion, two hundred sixty-seven million, two hundred seventy-nine thousand, four hundred one".