114005732733 has 24 divisors (see below), whose sum is σ = 167958748152. Its totient is φ = 74491243008.

The previous prime is 114005732719. The next prime is 114005732759. The reversal of 114005732733 is 337237500411.

114005732733 is a `hidden beast` number, since 1 + 14 + 0 + 0 + 573 + 2 + 73 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45208114884 + 68797617849 = 212622^2 + 262293^2 .

It is not a de Polignac number, because 114005732733 - 2¹⁰ = 114005731709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114005732713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329185 + ... + 579977.

It is an arithmetic number, because the mean of its divisors is an integer number (6998281173).

Almost surely, 2^114005732733 is an apocalyptic number.

It is an amenable number.

114005732733 is a deficient number, since it is larger than the sum of its proper divisors (53953015419).

114005732733 is a wasteful number, since it uses less digits than its factorization.

114005732733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251805 (or 251802 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 114005732733 in words is "one hundred fourteen billion, five million, seven hundred thirty-two thousand, seven hundred thirty-three".