5414877806121 has 81 divisors (see below), whose sum is σ = 9425493822693. Its totient is φ = 2986736921280.

The previous prime is 5414877806053. The next prime is 5414877806153. The reversal of 5414877806121 is 1216087784145.

It is a happy number.

The square root of 5414877806121 is 2326989.

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

5414877806121 is a `hidden beast` number, since 5 + 4 + 1 + 487 + 7 + 80 + 61 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1176055660521 + 4238822145600 = 1084461^2 + 2058840^2 .

It is not a de Polignac number, because 5414877806121 - 2²⁹ = 5414340935209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5414877806321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1417134391 + ... + 1417138211.

Almost surely, 2^{5414877806121} is an apocalyptic number.

5414877806121 is the 2326989-th square number.

5414877806121 is the 1163495-th centered octagonal number.

It is an amenable number.

5414877806121 is a deficient number, since it is larger than the sum of its proper divisors (4010616016572).

5414877806121 is an frugal number, since it uses more digits than its factorization.

5414877806121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 5414877806121 in words is "five trillion, four hundred fourteen billion, eight hundred seventy-seven million, eight hundred six thousand, one hundred twenty-one".