164340434202525 has 576 divisors, whose sum is σ = 392577844838400. Its totient is φ = 63954186024960.

The previous prime is 164340434202517. The next prime is 164340434202613. The reversal of 164340434202525 is 525202434043461.

164340434202525 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 0 + 434 + 202 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 164340434202525 - 2³ = 164340434202517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 738407812 + ... + 738630338.

It is an arithmetic number, because the mean of its divisors is an integer number (681558758400).

Almost surely, 2^{164340434202525} is an apocalyptic number.

164340434202525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164340434202525 is an abundant number, since it is smaller than the sum of its proper divisors (228237410635875).

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

164340434202525 is a wasteful number, since it uses less digits than its factorization.

164340434202525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222658 (or 222650 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 164340434202525 its reverse (525202434043461), we get a palindrome (689542868245986).

The spelling of 164340434202525 in words is "one hundred sixty-four trillion, three hundred forty billion, four hundred thirty-four million, two hundred two thousand, five hundred twenty-five".