388224010966801 has 9 divisors (see below), whose sum is σ = 389333886422641. Its totient is φ = 387117290636032.

The previous prime is 388224010966741. The next prime is 388224010966823. The reversal of 388224010966801 is 108669010422883.

The square root of 388224010966801 is 19703401.

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 123035813806801 + 265188197160000 = 11092151^2 + 16284600^2 .

It is not a de Polignac number, because 388224010966801 - 2¹¹ = 388224010964753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (388224010966301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6955272645 + ... + 6955328461.

Almost surely, 2^{388224010966801} is an apocalyptic number.

388224010966801 is the 19703401-st square number.

388224010966801 is the 9851701-st centered octagonal number.

It is an amenable number.

388224010966801 is a deficient number, since it is larger than the sum of its proper divisors (1109875455840).

388224010966801 is an frugal number, since it uses more digits than its factorization.

388224010966801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112340 (or 56170 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 388224010966801 in words is "three hundred eighty-eight trillion, two hundred twenty-four billion, ten million, nine hundred sixty-six thousand, eight hundred one".