186164052096 has 128 divisors (see below), whose sum is σ = 540286770240. Its totient is φ = 56326123520.

The previous prime is 186164052089. The next prime is 186164052157. The reversal of 186164052096 is 690250461681.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2724526 + ... + 2792018.

Almost surely, 2^186164052096 is an apocalyptic number.

186164052096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186164052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270143385120).

186164052096 is an abundant number, since it is smaller than the sum of its proper divisors (354122718144).

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

186164052096 is a wasteful number, since it uses less digits than its factorization.

186164052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68174 (or 68162 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 186164052096 in words is "one hundred eighty-six billion, one hundred sixty-four million, fifty-two thousand, ninety-six".