385556748088801 has 9 divisors (see below), whose sum is σ = 392969722062099. Its totient is φ = 378281071413336.

The previous prime is 385556748088753. The next prime is 385556748088823. The reversal of 385556748088801 is 108880847655583.

The square root of 385556748088801 is 19635599.

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

It can be written as a sum of positive squares in only one way, i.e., 277946747910225 + 107610000178576 = 16671735^2 + 10373524^2 .

It is not a de Polignac number, because 385556748088801 - 2³³ = 385548158154209 is a prime.

It is a super-2 number, since 2×385556748088801² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385556748088301) 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, 1040501506 + ... + 1040871988.

Almost surely, 2^{385556748088801} is an apocalyptic number.

385556748088801 is the 19635599-th square number.

385556748088801 is the 9817800-th centered octagonal number.

It is an amenable number.

385556748088801 is a deficient number, since it is larger than the sum of its proper divisors (7412973973298).

385556748088801 is an frugal number, since it uses more digits than its factorization.

385556748088801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741072 (or 370536 counting only the distinct ones).

The product of its (nonzero) digits is 2064384000, while the sum is 76.

The spelling of 385556748088801 in words is "three hundred eighty-five trillion, five hundred fifty-six billion, seven hundred forty-eight million, eighty-eight thousand, eight hundred one".