114879446821489 has 27 divisors (see below), whose sum is σ = 134137154506401. Its totient is φ = 98099670453120.

The previous prime is 114879446821429. The next prime is 114879446821507. The reversal of 114879446821489 is 984128644978411.

The square root of 114879446821489 is 10718183.

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 8689719395889 + 106189727425600 = 2947833^2 + 10304840^2 .

It is not a de Polignac number, because 114879446821489 - 2²⁷ = 114879312603761 is a prime.

It is a super-2 number, since 2×114879446821489² (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 (114879446821429) 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, 21082663237 + ... + 21082668685.

Almost surely, 2^{114879446821489} is an apocalyptic number.

114879446821489 is the 10718183-rd square number.

114879446821489 is the 5359092-nd centered octagonal number.

It is an amenable number.

114879446821489 is a deficient number, since it is larger than the sum of its proper divisors (19257707684912).

114879446821489 is an frugal number, since it uses more digits than its factorization.

114879446821489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 5737 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 76.

The spelling of 114879446821489 in words is "one hundred fourteen trillion, eight hundred seventy-nine billion, four hundred forty-six million, eight hundred twenty-one thousand, four hundred eighty-nine".