186114485061120 has 640 divisors, whose sum is σ = 741887367598080. Its totient is φ = 38668541460480.

The previous prime is 186114485061067. The next prime is 186114485061149. The reversal of 186114485061120 is 21160584411681.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 186114485061120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7547515351 + ... + 7547540009.

It is an arithmetic number, because the mean of its divisors is an integer number (1159199011872).

Almost surely, 2^{186114485061120} is an apocalyptic number.

186114485061120 is a gapful number since it is divisible by the number (10) 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 186114485061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370943683799040).

186114485061120 is an abundant number, since it is smaller than the sum of its proper divisors (555772882536960).

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

186114485061120 is a wasteful number, since it uses less digits than its factorization.

186114485061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37466 (or 37450 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 186114485061120 in words is "one hundred eighty-six trillion, one hundred fourteen billion, four hundred eighty-five million, sixty-one thousand, one hundred twenty".