114064175745 has 24 divisors (see below), whose sum is σ = 212919795816. Its totient is φ = 56154670848.

The previous prime is 114064175741. The next prime is 114064175761. The reversal of 114064175745 is 547571460411.

114064175745 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 64 + 17 + 574 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7003681344 + 107060494401 = 83688^2 + 327201^2 .

It is not a de Polignac number, because 114064175745 - 2² = 114064175741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114064175745.

It is not an unprimeable number, because it can be changed into a prime (114064175741) 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, 97490164 + ... + 97491333.

It is an arithmetic number, because the mean of its divisors is an integer number (8871658159).

Almost surely, 2^114064175745 is an apocalyptic number.

114064175745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114064175745 is a deficient number, since it is larger than the sum of its proper divisors (98855620071).

114064175745 is a wasteful number, since it uses less digits than its factorization.

114064175745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194981521 (or 194981518 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 114064175745 in words is "one hundred fourteen billion, sixty-four million, one hundred seventy-five thousand, seven hundred forty-five".