164672828401 has 3 divisors (see below), whose sum is σ = 164673234201. Its totient is φ = 164672422602.

The previous prime is 164672828399. The next prime is 164672828443. The reversal of 164672828401 is 104828276461.

It is a happy number.

The square root of 164672828401 is 405799.

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

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.

It is not a de Polignac number, because 164672828401 - 2¹ = 164672828399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164672822401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 202900 + ... + 608698.

It is an arithmetic number, because the mean of its divisors is an integer number (54891078067).

Almost surely, 2^164672828401 is an apocalyptic number.

164672828401 is the 405799-th square number.

164672828401 is the 202900-th centered octagonal number.

It is an amenable number.

164672828401 is a deficient number, since it is larger than the sum of its proper divisors (405800).

164672828401 is an frugal number, since it uses more digits than its factorization.

164672828401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811598 (or 405799 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

Multiplying 164672828401 by its sum of digits (49), we get a square (8068968591649 = 2840593²).

The spelling of 164672828401 in words is "one hundred sixty-four billion, six hundred seventy-two million, eight hundred twenty-eight thousand, four hundred one".