2114314134009 has 144 divisors (see below), whose sum is σ = 3634193122560. Its totient is φ = 1089356083200.

The previous prime is 2114314134001. The next prime is 2114314134011. The reversal of 2114314134009 is 9004314134112.

It is not a de Polignac number, because 2114314134009 - 2³ = 2114314134001 is a prime.

It is a super-2 number, since 2×2114314134009² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2114314134001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1479575307 + ... + 1479576735.

It is an arithmetic number, because the mean of its divisors is an integer number (25237452240).

Almost surely, 2^{2114314134009} is an apocalyptic number.

It is an amenable number.

2114314134009 is a deficient number, since it is larger than the sum of its proper divisors (1519878988551).

2114314134009 is a wasteful number, since it uses less digits than its factorization.

2114314134009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 2114314134009 in words is "two trillion, one hundred fourteen billion, three hundred fourteen million, one hundred thirty-four thousand, nine".