384837844609 has 27 divisors (see below), whose sum is σ = 401192807043. Its totient is φ = 369144774768.

The previous prime is 384837844591. The next prime is 384837844627. The reversal of 384837844609 is 906448738483.

The square root of 384837844609 is 620353.

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

It is an interprime number because it is at equal distance from previous prime (384837844591) and next prime (384837844627).

It can be written as a sum of positive squares in only one way, i.e., 377063543025 + 7774301584 = 614055^2 + 88172^2 .

It is not a de Polignac number, because 384837844609 - 2¹³ = 384837836417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384837844649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1953491499 + ... + 1953491695.

Almost surely, 2^384837844609 is an apocalyptic number.

384837844609 is the 620353-rd square number.

384837844609 is the 310177-th centered octagonal number.

It is an amenable number.

384837844609 is a deficient number, since it is larger than the sum of its proper divisors (16354962434).

384837844609 is an frugal number, since it uses more digits than its factorization.

384837844609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 64.

Multiplying 384837844609 by its sum of digits (64), we get a square (24629622054976 = 4962824²).

The spelling of 384837844609 in words is "three hundred eighty-four billion, eight hundred thirty-seven million, eight hundred forty-four thousand, six hundred nine".