114015054144015 has 12 divisors (see below), whose sum is σ = 197626093849704. Its totient is φ = 60808028876784.

The previous prime is 114015054143983. The next prime is 114015054144023. The reversal of 114015054144015 is 510441450510411.

114015054144015 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 505 + 4 + 144 + 0 + 1 + 5 = 666.

It is not a de Polignac number, because 114015054144015 - 2⁵ = 114015054143983 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1266833934889 + ... + 1266833934978.

It is an arithmetic number, because the mean of its divisors is an integer number (16468841154142).

Almost surely, 2^{114015054144015} is an apocalyptic number.

114015054144015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114015054144015 is a deficient number, since it is larger than the sum of its proper divisors (83611039705689).

114015054144015 is a wasteful number, since it uses less digits than its factorization.

114015054144015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533667869878 (or 2533667869875 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 114015054144015 in words is "one hundred fourteen trillion, fifteen billion, fifty-four million, one hundred forty-four thousand, fifteen".