621106338609 has 105 divisors (see below), whose sum is σ = 999328285639. Its totient is φ = 385855228800.

The previous prime is 621106338551. The next prime is 621106338647. The reversal of 621106338609 is 906833601126.

The square root of 621106338609 is 788103.

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

621106338609 is a `hidden beast` number, since 6 + 2 + 1 + 1 + 0 + 6 + 3 + 38 + 609 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 90452367009 + 530653971600 = 300753^2 + 728460^2 .

It is not a de Polignac number, because 621106338609 - 2¹¹ = 621106336561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (621106338679) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 6149567659 + ... + 6149567759.

Almost surely, 2^621106338609 is an apocalyptic number.

621106338609 is the 788103-rd square number.

621106338609 is the 394052-nd centered octagonal number.

It is an amenable number.

621106338609 is a deficient number, since it is larger than the sum of its proper divisors (378221947030).

621106338609 is an frugal number, since it uses more digits than its factorization.

621106338609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 621106338609 in words is "six hundred twenty-one billion, one hundred six million, three hundred thirty-eight thousand, six hundred nine".