164002567552 has 64 divisors (see below), whose sum is σ = 346434105600. Its totient is φ = 77068099584.

The previous prime is 164002567529. The next prime is 164002567609. The reversal of 164002567552 is 255765200461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 164002567499 and 164002567508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1489633 + ... + 1595935.

It is an arithmetic number, because the mean of its divisors is an integer number (5413032900).

Almost surely, 2^164002567552 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 164002567552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173217052800).

164002567552 is an abundant number, since it is smaller than the sum of its proper divisors (182431538048).

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

164002567552 is a wasteful number, since it uses less digits than its factorization.

164002567552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107043 (or 107031 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 164002567552 in words is "one hundred sixty-four billion, two million, five hundred sixty-seven thousand, five hundred fifty-two".