814916641 has 16 divisors (see below), whose sum is σ = 1075766400. Its totient is φ = 597646080.

The previous prime is 814916633. The next prime is 814916647. The reversal of 814916641 is 146619418.

It is a cyclic number.

It is not a de Polignac number, because 814916641 - 2³ = 814916633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 814916594 and 814916603.

It is not an unprimeable number, because it can be changed into a prime (814916647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309966 + ... + 312583.

It is an arithmetic number, because the mean of its divisors is an integer number (67235400).

Almost surely, 2^814916641 is an apocalyptic number.

It is an amenable number.

814916641 is a deficient number, since it is larger than the sum of its proper divisors (260849759).

814916641 is a wasteful number, since it uses less digits than its factorization.

814916641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622584.

The product of its digits is 41472, while the sum is 40.

The square root of 814916641 is about 28546.7448406994. The cubic root of 814916641 is about 934.0520160036.

The spelling of 814916641 in words is "eight hundred fourteen million, nine hundred sixteen thousand, six hundred forty-one".