2114105435361 has 48 divisors (see below), whose sum is σ = 3101056358400. Its totient is φ = 1387737412704.

The previous prime is 2114105435353. The next prime is 2114105435401. The reversal of 2114105435361 is 1635345014112.

2114105435361 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 0 + 543 + 53 + 61 = 666.

It is not a de Polignac number, because 2114105435361 - 2³ = 2114105435353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2114105435341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106125160 + ... + 106145078.

It is an arithmetic number, because the mean of its divisors is an integer number (64605340800).

Almost surely, 2^{2114105435361} is an apocalyptic number.

It is an amenable number.

2114105435361 is a deficient number, since it is larger than the sum of its proper divisors (986950923039).

2114105435361 is a wasteful number, since it uses less digits than its factorization.

2114105435361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20698 (or 20695 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2114105435361 in words is "two trillion, one hundred fourteen billion, one hundred five million, four hundred thirty-five thousand, three hundred sixty-one".