114128711424 has 1080 divisors, whose sum is σ = 443248390480. Its totient is φ = 28791189504.

The previous prime is 114128711419. The next prime is 114128711429. The reversal of 114128711424 is 424117821411.

114128711424 is a `hidden beast` number, since 1 + 141 + 2 + 87 + 11 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (114128711419) and next prime (114128711429).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (14336) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114128711429) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 4962117877 + ... + 4962117899.

Almost surely, 2^114128711424 is an apocalyptic number.

114128711424 is a gapful number since it is divisible by the number (14) 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 114128711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221624195240).

114128711424 is an abundant number, since it is smaller than the sum of its proper divisors (329119679056).

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

114128711424 is an frugal number, since it uses more digits than its factorization.

114128711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 48 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The spelling of 114128711424 in words is "one hundred fourteen billion, one hundred twenty-eight million, seven hundred eleven thousand, four hundred twenty-four".