164405920900 has 81 divisors (see below), whose sum is σ = 386438899791. Its totient is φ = 60684262080.

The previous prime is 164405920873. The next prime is 164405920901. The reversal of 164405920900 is 9029504461.

The square root of 164405920900 is 405470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42375869316 + 122030051584 = 205854^2 + 349328^2 .

It is a super-3 number, since 3×164405920900³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164405920901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52709541 + ... + 52712659.

Almost surely, 2^164405920900 is an apocalyptic number.

164405920900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164405920900 is the 405470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164405920900

164405920900 is an abundant number, since it is smaller than the sum of its proper divisors (222032978891).

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

164405920900 is an equidigital number, since it uses as much as digits as its factorization.

164405920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 164405920900 in words is "one hundred sixty-four billion, four hundred five million, nine hundred twenty thousand, nine hundred".