164373484900 has 27 divisors (see below), whose sum is σ = 356699260281. Its totient is φ = 65747772240.

The previous prime is 164373484853. The next prime is 164373484909. The reversal of 164373484900 is 9484373461.

The square root of 164373484900 is 405430.

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

It can be written as a sum of positive squares in only one way, i.e., 59174454564 + 105199030336 = 243258^2 + 324344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164373484909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4034029 + ... + 4074571.

Almost surely, 2^164373484900 is an apocalyptic number.

164373484900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164373484900 is the 405430-th square number.

It is an amenable number.

164373484900 is an abundant number, since it is smaller than the sum of its proper divisors (192325775381).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164373484900 is an frugal number, since it uses more digits than its factorization.

164373484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81100 (or 40550 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 164373484900 by its sum of digits (49), we get a square (8054300760100 = 2838010²).

The spelling of 164373484900 in words is "one hundred sixty-four billion, three hundred seventy-three million, four hundred eighty-four thousand, nine hundred".