114013211745 has 64 divisors (see below), whose sum is σ = 196997391360. Its totient is φ = 56131833600.

The previous prime is 114013211729. The next prime is 114013211773. The reversal of 114013211745 is 547112310411.

It is not a de Polignac number, because 114013211745 - 2⁴ = 114013211729 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1829550 + ... + 1890840.

It is an arithmetic number, because the mean of its divisors is an integer number (3078084240).

Almost surely, 2^114013211745 is an apocalyptic number.

114013211745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114013211745 is a deficient number, since it is larger than the sum of its proper divisors (82984179615).

114013211745 is a wasteful number, since it uses less digits than its factorization.

114013211745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61486.

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 114013211745 in words is "one hundred fourteen billion, thirteen million, two hundred eleven thousand, seven hundred forty-five".