385339253049 has 63 divisors (see below), whose sum is σ = 586908003423. Its totient is φ = 252881503632.

The previous prime is 385339253027. The next prime is 385339253083. The reversal of 385339253049 is 940352933583.

The square root of 385339253049 is 620757.

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

385339253049 is a `hidden beast` number, since 38 + 5 + 3 + 39 + 2 + 530 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66417021225 + 318922231824 = 257715^2 + 564732^2 .

It is not a de Polignac number, because 385339253049 - 2¹⁵ = 385339220281 is a prime.

It is a super-2 number, since 2×385339253049² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385339252986 and 385339253004.

It is not an unprimeable number, because it can be changed into a prime (385339253449) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1391116299 + ... + 1391116575.

Almost surely, 2^385339253049 is an apocalyptic number.

385339253049 is the 620757-th square number.

385339253049 is the 310379-th centered octagonal number.

It is an amenable number.

385339253049 is a deficient number, since it is larger than the sum of its proper divisors (201568750374).

385339253049 is an frugal number, since it uses more digits than its factorization.

385339253049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 385339253049 in words is "three hundred eighty-five billion, three hundred thirty-nine million, two hundred fifty-three thousand, forty-nine".