1814966700849 has 81 divisors (see below), whose sum is σ = 2758229262243. Its totient is φ = 1150019005824.

The previous prime is 1814966700803. The next prime is 1814966700863. The reversal of 1814966700849 is 9480076694181.

The square root of 1814966700849 is 1347207.

It is a perfect power (a square), and thus also a powerful number.

1814966700849 is a `hidden beast` number, since 1 + 8 + 1 + 496 + 67 + 0 + 0 + 84 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 300147292449 + 1514819408400 = 547857^2 + 1230780^2 .

It is not a de Polignac number, because 1814966700849 - 2⁷ = 1814966700721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1814966740849) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7925618667 + ... + 7925618895.

Almost surely, 2^{1814966700849} is an apocalyptic number.

1814966700849 is the 1347207-th square number.

1814966700849 is the 673604-th centered octagonal number.

It is an amenable number.

1814966700849 is a deficient number, since it is larger than the sum of its proper divisors (943262561394).

1814966700849 is an frugal number, since it uses more digits than its factorization.

1814966700849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1814966700849 in words is "one trillion, eight hundred fourteen billion, nine hundred sixty-six million, seven hundred thousand, eight hundred forty-nine".