164413304500 has 192 divisors, whose sum is σ = 370628032320. Its totient is φ = 63697920000.

The previous prime is 164413304491. The next prime is 164413304519. The reversal of 164413304500 is 5403314461.

It is a happy number.

164413304500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 164131937424 + 281367076 = 405132^2 + 16774^2 .

It is a super-3 number, since 3×164413304500³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 705636384 + ... + 705636616.

It is an arithmetic number, because the mean of its divisors is an integer number (1930354335).

Almost surely, 2^164413304500 is an apocalyptic number.

164413304500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164413304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185314016160).

164413304500 is an abundant number, since it is smaller than the sum of its proper divisors (206214727820).

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

164413304500 is a wasteful number, since it uses less digits than its factorization.

164413304500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 164413304500 its reverse (5403314461), we get a palindrome (169816618961).

The spelling of 164413304500 in words is "one hundred sixty-four billion, four hundred thirteen million, three hundred four thousand, five hundred".