114129784561 has 15 divisors (see below), whose sum is σ = 123702148941. Its totient is φ = 105297868728.

The previous prime is 114129784553. The next prime is 114129784589. The reversal of 114129784561 is 165487921411.

The square root of 114129784561 is 337831.

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

It can be written as a sum of positive squares in 2 ways, for example, as 56587370161 + 57542414400 = 237881^2 + 239880^2 .

It is not a de Polignac number, because 114129784561 - 2³ = 114129784553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114129784511) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 57092440 + ... + 57094438.

Almost surely, 2^114129784561 is an apocalyptic number.

114129784561 is the 337831-st square number.

114129784561 is the 168916-th centered octagonal number.

It is an amenable number.

114129784561 is a deficient number, since it is larger than the sum of its proper divisors (9572364380).

114129784561 is an frugal number, since it uses more digits than its factorization.

114129784561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 2012 counting only the distinct ones).

The product of its digits is 483840, while the sum is 49.

Multiplying 114129784561 by its sum of digits (49), we get a square (5592359443489 = 2364817²).

The spelling of 114129784561 in words is "one hundred fourteen billion, one hundred twenty-nine million, seven hundred eighty-four thousand, five hundred sixty-one".