114722757578641 has 27 divisors (see below), whose sum is σ = 118395913919409. Its totient is φ = 111161360838528.

The previous prime is 114722757578593. The next prime is 114722757578707. The reversal of 114722757578641 is 146875757227411.

The square root of 114722757578641 is 10710871.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5256340314241 + 109466417264400 = 2292671^2 + 10462620^2 .

It is not a de Polignac number, because 114722757578641 - 2⁹ = 114722757578129 is a prime.

It is a super-2 number, since 2×114722757578641² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114722757578441) 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, 133553850070 + ... + 133553850928.

It is an arithmetic number, because the mean of its divisors is an integer number (4385033848867).

Almost surely, 2^{114722757578641} is an apocalyptic number.

114722757578641 is the 10710871-st square number.

114722757578641 is the 5355436-th centered octagonal number.

It is an amenable number.

114722757578641 is a deficient number, since it is larger than the sum of its proper divisors (3673156340768).

114722757578641 is an frugal number, since it uses more digits than its factorization.

114722757578641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 1233 counting only the distinct ones).

The product of its digits is 184396800, while the sum is 67.

The spelling of 114722757578641 in words is "one hundred fourteen trillion, seven hundred twenty-two billion, seven hundred fifty-seven million, five hundred seventy-eight thousand, six hundred forty-one".