392939668801 has 9 divisors (see below), whose sum is σ = 402783661353. Its totient is φ = 383330700480.

The previous prime is 392939668753. The next prime is 392939668811. The reversal of 392939668801 is 108866939293.

The square root of 392939668801 is 626849.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70542828801 + 322396840000 = 265599^2 + 567800^2 .

It is not a de Polignac number, because 392939668801 - 2¹³ = 392939660609 is a prime.

It is a super-3 number, since 3×392939668801³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (392939668811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25693165 + ... + 25708453.

Almost surely, 2^392939668801 is an apocalyptic number.

392939668801 is the 626849-th square number.

392939668801 is the 313425-th centered octagonal number.

It is an amenable number.

392939668801 is a deficient number, since it is larger than the sum of its proper divisors (9843992552).

392939668801 is an frugal number, since it uses more digits than its factorization.

392939668801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30660 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 64.

Multiplying 392939668801 by its sum of digits (64), we get a square (25148138803264 = 5014792²).

The spelling of 392939668801 in words is "three hundred ninety-two billion, nine hundred thirty-nine million, six hundred sixty-eight thousand, eight hundred one".