114240053145105 has 12 divisors (see below), whose sum is σ = 198016092118260. Its totient is φ = 60928028344032.

The previous prime is 114240053145061. The next prime is 114240053145143. The reversal of 114240053145105 is 501541350042411.

114240053145105 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 400 + 5 + 3 + 145 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78177710177856 + 36062342967249 = 8841816^2 + 6005193^2 .

It is not a de Polignac number, because 114240053145105 - 2¹⁸ = 114240052882961 is a prime.

It is a super-3 number, since 3×114240053145105³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 114240053145105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269333923790 + ... + 1269333923879.

It is an arithmetic number, because the mean of its divisors is an integer number (16501341009855).

Almost surely, 2^{114240053145105} is an apocalyptic number.

114240053145105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114240053145105 is a deficient number, since it is larger than the sum of its proper divisors (83776038973155).

114240053145105 is a wasteful number, since it uses less digits than its factorization.

114240053145105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538667847680 (or 2538667847677 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 114240053145105 in words is "one hundred fourteen trillion, two hundred forty billion, fifty-three million, one hundred forty-five thousand, one hundred five".