164002567553 has 16 divisors (see below), whose sum is σ = 179795011200. Its totient is φ = 148359081600.

The previous prime is 164002567529. The next prime is 164002567609. The reversal of 164002567553 is 355765200461.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 164002567553 - 2¹⁰ = 164002566529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164002557553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825733 + ... + 1913453.

It is an arithmetic number, because the mean of its divisors is an integer number (11237188200).

Almost surely, 2^164002567553 is an apocalyptic number.

It is an amenable number.

164002567553 is a deficient number, since it is larger than the sum of its proper divisors (15792443647).

164002567553 is a wasteful number, since it uses less digits than its factorization.

164002567553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88568.

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 164002567553 in words is "one hundred sixty-four billion, two million, five hundred sixty-seven thousand, five hundred fifty-three".