114700124160 has 816 divisors, whose sum is σ = 441656841600. Its totient is φ = 27405582336.

The previous prime is 114700124107. The next prime is 114700124167. The reversal of 114700124160 is 61421007411.

114700124160 is a `hidden beast` number, since 11 + 470 + 0 + 1 + 24 + 160 = 666.

114700124160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114700124160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114700124167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288765396 + ... + 1288765484.

Almost surely, 2^114700124160 is an apocalyptic number.

114700124160 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 114700124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220828420800).

114700124160 is an abundant number, since it is smaller than the sum of its proper divisors (326956717440).

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

114700124160 is an equidigital number, since it uses as much as digits as its factorization.

114700124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 114700124160 in words is "one hundred fourteen billion, seven hundred million, one hundred twenty-four thousand, one hundred sixty".