2114827272441 has 24 divisors (see below), whose sum is σ = 3290119841736. Its totient is φ = 1301278464000.

The previous prime is 2114827272433. The next prime is 2114827272449. The reversal of 2114827272441 is 1442727284112.

2114827272441 is a `hidden beast` number, since 2 + 114 + 8 + 27 + 2 + 72 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (2114827272433) and next prime (2114827272449).

It can be written as a sum of positive squares in 4 ways, for example, as 6741066816 + 2108086205625 = 82104^2 + 1451925^2 .

It is not a de Polignac number, because 2114827272441 - 2³ = 2114827272433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2114827272449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68520 + ... + 2057753.

It is an arithmetic number, because the mean of its divisors is an integer number (137088326739).

Almost surely, 2^{2114827272441} is an apocalyptic number.

It is an amenable number.

2114827272441 is a deficient number, since it is larger than the sum of its proper divisors (1175292569295).

2114827272441 is a wasteful number, since it uses less digits than its factorization.

2114827272441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134793 (or 2134790 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The spelling of 2114827272441 in words is "two trillion, one hundred fourteen billion, eight hundred twenty-seven million, two hundred seventy-two thousand, four hundred forty-one".