114234141432411 has 288 divisors, whose sum is σ = 232019180789760. Its totient is φ = 52654859896320.

The previous prime is 114234141432403. The next prime is 114234141432419.

114234141432411 is a `hidden beast` number, since 1 + 1 + 4 + 234 + 1 + 4 + 1 + 4 + 3 + 2 + 411 = 666.

114234141432411 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (114234141432403) and next prime (114234141432419).

It is not a de Polignac number, because 114234141432411 - 2³ = 114234141432403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114234141432419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 304145350 + ... + 304520708.

It is an arithmetic number, because the mean of its divisors is an integer number (805622155520).

Almost surely, 2^{114234141432411} is an apocalyptic number.

114234141432411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114234141432411 is an abundant number, since it is smaller than the sum of its proper divisors (117785039357349).

114234141432411 is a wasteful number, since it uses less digits than its factorization.

114234141432411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375527 (or 375513 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 114234141432411 in words is "one hundred fourteen trillion, two hundred thirty-four billion, one hundred forty-one million, four hundred thirty-two thousand, four hundred eleven".