626223743649 has 189 divisors, whose sum is σ = 1127462629923. Its totient is φ = 346646218464.

The previous prime is 626223743627. The next prime is 626223743659. The reversal of 626223743649 is 946347322626.

The square root of 626223743649 is 791343.

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

626223743649 is a `hidden beast` number, since 6 + 2 + 622 + 3 + 7 + 4 + 3 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 451442891025 + 174780852624 = 671895^2 + 418068^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 626223743649 - 2¹¹ = 626223741601 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 626223743595 and 626223743604.

It is not an unprimeable number, because it can be changed into a prime (626223743609) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 7926882792 + ... + 7926882870.

Almost surely, 2^626223743649 is an apocalyptic number.

626223743649 is the 791343-rd square number.

626223743649 is the 395672-nd centered octagonal number.

It is an amenable number.

626223743649 is a deficient number, since it is larger than the sum of its proper divisors (501238886274).

626223743649 is an frugal number, since it uses more digits than its factorization.

626223743649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 142 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 626223743649 in words is "six hundred twenty-six billion, two hundred twenty-three million, seven hundred forty-three thousand, six hundred forty-nine".