164529034600 has 288 divisors, whose sum is σ = 450627408000. Its totient is φ = 55700144640.

The previous prime is 164529034597. The next prime is 164529034609. The reversal of 164529034600 is 6430925461.

164529034600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (164529034609) 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 71 ways as a sum of consecutive naturals, for example, 374781181 + ... + 374781619.

It is an arithmetic number, because the mean of its divisors is an integer number (1564678500).

Almost surely, 2^164529034600 is an apocalyptic number.

164529034600 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 164529034600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225313704000).

164529034600 is an abundant number, since it is smaller than the sum of its proper divisors (286098373400).

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

164529034600 is a wasteful number, since it uses less digits than its factorization.

164529034600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 164529034600 in words is "one hundred sixty-four billion, five hundred twenty-nine million, thirty-four thousand, six hundred".