114002727705 has 48 divisors (see below), whose sum is σ = 206404922880. Its totient is φ = 58099054464.

The previous prime is 114002727677. The next prime is 114002727733. The reversal of 114002727705 is 507727200411.

It is an interprime number because it is at equal distance from previous prime (114002727677) and next prime (114002727733).

It is not a de Polignac number, because 114002727705 - 2¹⁰ = 114002726681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114002727705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976656 + ... + 1087134.

It is an arithmetic number, because the mean of its divisors is an integer number (4300102560).

Almost surely, 2^114002727705 is an apocalyptic number.

114002727705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114002727705 is a deficient number, since it is larger than the sum of its proper divisors (92402195175).

114002727705 is a wasteful number, since it uses less digits than its factorization.

114002727705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111510 (or 111507 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 114002727705 in words is "one hundred fourteen billion, two million, seven hundred twenty-seven thousand, seven hundred five".