186416127114 has 64 divisors (see below), whose sum is σ = 431044934400. Its totient is φ = 52643340288.

The previous prime is 186416127097. The next prime is 186416127127. The reversal of 186416127114 is 411721614681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11837854 + ... + 11853590.

It is an arithmetic number, because the mean of its divisors is an integer number (6735077100).

Almost surely, 2^186416127114 is an apocalyptic number.

186416127114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 186416127114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215522467200).

186416127114 is an abundant number, since it is smaller than the sum of its proper divisors (244628807286).

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

186416127114 is a wasteful number, since it uses less digits than its factorization.

186416127114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19007.

The product of its digits is 64512, while the sum is 42.

The spelling of 186416127114 in words is "one hundred eighty-six billion, four hundred sixteen million, one hundred twenty-seven thousand, one hundred fourteen".