114560309791225 has 27 divisors (see below), whose sum is σ = 150903685359271. Its totient is φ = 86256489420800.

The previous prime is 114560309791219. The next prime is 114560309791229. The reversal of 114560309791225 is 522197903065411.

The square root of 114560309791225 is 10703285.

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

It can be written as a sum of positive squares in 13 ways, for example, as 106457884172649 + 8102425618576 = 10317843^2 + 2846476^2 .

It is not a de Polignac number, because 114560309791225 - 2⁹ = 114560309790713 is a prime.

It is a super-2 number, since 2×114560309791225² (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 (114560309791229) 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, 909716265 + ... + 909842185.

Almost surely, 2^{114560309791225} is an apocalyptic number.

114560309791225 is the 10703285-th square number.

114560309791225 is the 5351643-rd centered octagonal number.

It is an amenable number.

114560309791225 is a deficient number, since it is larger than the sum of its proper divisors (36343375568046).

114560309791225 is an frugal number, since it uses more digits than its factorization.

114560309791225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251886 (or 125943 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 114560309791225 in words is "one hundred fourteen trillion, five hundred sixty billion, three hundred nine million, seven hundred ninety-one thousand, two hundred twenty-five".