164561600616 has 128 divisors (see below), whose sum is σ = 481927622400. Its totient is φ = 45843793920.

The previous prime is 164561600603. The next prime is 164561600653. The reversal of 164561600616 is 616006165461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13583970 + ... + 13596078.

It is an arithmetic number, because the mean of its divisors is an integer number (3765059550).

Almost surely, 2^164561600616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164561600616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240963811200).

164561600616 is an abundant number, since it is smaller than the sum of its proper divisors (317366021784).

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

164561600616 is a wasteful number, since it uses less digits than its factorization.

164561600616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139 (or 14135 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 164561600616 in words is "one hundred sixty-four billion, five hundred sixty-one million, six hundred thousand, six hundred sixteen".