385664598361 has 27 divisors (see below), whose sum is σ = 454785969141. Its totient is φ = 326094592824.

The previous prime is 385664598359. The next prime is 385664598377. The reversal of 385664598361 is 163895466583.

The square root of 385664598361 is 621019.

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

It is not a de Polignac number, because 385664598361 - 2¹ = 385664598359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 385664598293 and 385664598302.

It is not an unprimeable number, because it can be changed into a prime (385664598061) 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, 343422946 + ... + 343424068.

It is an arithmetic number, because the mean of its divisors is an integer number (16843924783).

Almost surely, 2^385664598361 is an apocalyptic number.

385664598361 is the 621019-th square number.

385664598361 is the 310510-th centered octagonal number.

It is an amenable number.

385664598361 is a deficient number, since it is larger than the sum of its proper divisors (69121370780).

385664598361 is an frugal number, since it uses more digits than its factorization.

385664598361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 1209 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 64.

Multiplying 385664598361 by its sum of digits (64), we get a square (24682534295104 = 4968152²).

The spelling of 385664598361 in words is "three hundred eighty-five billion, six hundred sixty-four million, five hundred ninety-eight thousand, three hundred sixty-one".