379871297569 has 27 divisors (see below), whose sum is σ = 401987568619. Its totient is φ = 358954668800.

The previous prime is 379871297557. The next prime is 379871297609. The reversal of 379871297569 is 965792178973.

The square root of 379871297569 is 616337.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8853869025 + 371017428544 = 94095^2 + 609112^2 .

It is not a de Polignac number, because 379871297569 - 2¹³ = 379871289377 is a prime.

It is a super-2 number, since 2×379871297569² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379871297539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 947309769 + ... + 947310169.

Almost surely, 2^379871297569 is an apocalyptic number.

379871297569 is the 616337-th square number.

379871297569 is the 308169-th centered octagonal number.

It is an amenable number.

379871297569 is a deficient number, since it is larger than the sum of its proper divisors (22116271050).

379871297569 is an frugal number, since it uses more digits than its factorization.

379871297569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its digits is 360067680, while the sum is 73.

The spelling of 379871297569 in words is "three hundred seventy-nine billion, eight hundred seventy-one million, two hundred ninety-seven thousand, five hundred sixty-nine".