814244849131 has 12 divisors (see below), whose sum is σ = 947208147600. Its totient is φ = 697905467280.

The previous prime is 814244849123. The next prime is 814244849167. The reversal of 814244849131 is 131948442418.

It is not a de Polignac number, because 814244849131 - 2³ = 814244849123 is a prime.

It is a super-3 number, since 3×814244849131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814244849111) 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 11 ways as a sum of consecutive naturals, for example, 1814386 + ... + 2218216.

It is an arithmetic number, because the mean of its divisors is an integer number (78934012300).

Almost surely, 2^814244849131 is an apocalyptic number.

814244849131 is a deficient number, since it is larger than the sum of its proper divisors (132963298469).

814244849131 is a wasteful number, since it uses less digits than its factorization.

814244849131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444994 (or 444987 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The spelling of 814244849131 in words is "eight hundred fourteen billion, two hundred forty-four million, eight hundred forty-nine thousand, one hundred thirty-one".