166115505116500 has 24 divisors (see below), whose sum is σ = 362796263175528. Its totient is φ = 66446202046400.

The previous prime is 166115505116383. The next prime is 166115505116501. The reversal of 166115505116500 is 5611505511661.

It can be written as a sum of positive squares in 4 ways, for example, as 647313575364 + 165468191541136 = 804558^2 + 12863444^2 .

It is a super-2 number, since 2×166115505116500² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166115505116501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166115504617 + ... + 166115505616.

It is an arithmetic number, because the mean of its divisors is an integer number (15116510965647).

Almost surely, 2^{166115505116500} is an apocalyptic number.

166115505116500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166115505116500 is an abundant number, since it is smaller than the sum of its proper divisors (196680758059028).

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

166115505116500 is a wasteful number, since it uses less digits than its factorization.

166115505116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332231010252 (or 332231010240 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 43.

The spelling of 166115505116500 in words is "one hundred sixty-six trillion, one hundred fifteen billion, five hundred five million, one hundred sixteen thousand, five hundred".