114475985649 has 27 divisors (see below), whose sum is σ = 171296733153. Its totient is φ = 73666744704.

The previous prime is 114475985597. The next prime is 114475985693. The reversal of 114475985649 is 946589574411.

The square root of 114475985649 is 338343.

It is a perfect power (a square), and thus also a powerful number.

114475985649 is a `hidden beast` number, since 1 + 1 + 447 + 59 + 85 + 64 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7429233249 + 107046752400 = 86193^2 + 327180^2 .

It is not a de Polignac number, because 114475985649 - 2¹³ = 114475977457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114475985699) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29433897 + ... + 29437785.

Almost surely, 2^114475985649 is an apocalyptic number.

114475985649 is the 338343-rd square number.

114475985649 is the 169172-nd centered octagonal number.

It is an amenable number.

114475985649 is a deficient number, since it is larger than the sum of its proper divisors (56820747504).

114475985649 is an frugal number, since it uses more digits than its factorization.

114475985649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 3921 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 114475985649 in words is "one hundred fourteen billion, four hundred seventy-five million, nine hundred eighty-five thousand, six hundred forty-nine".