114429186000 has 960 divisors, whose sum is σ = 448666283520. Its totient is φ = 28101427200.

The previous prime is 114429185951. The next prime is 114429186043. The reversal of 114429186000 is 681924411.

114429186000 is a `hidden beast` number, since 1 + 1 + 4 + 42 + 9 + 1 + 8 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 324161824 + ... + 324162176.

It is an arithmetic number, because the mean of its divisors is an integer number (467360712).

Almost surely, 2^114429186000 is an apocalyptic number.

114429186000 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 114429186000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224333141760).

114429186000 is an abundant number, since it is smaller than the sum of its proper divisors (334237097520).

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

114429186000 is a wasteful number, since it uses less digits than its factorization.

114429186000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 114429186000 in words is "one hundred fourteen billion, four hundred twenty-nine million, one hundred eighty-six thousand".