386370955255041 has 27 divisors (see below), whose sum is σ = 558583371719139. Its totient is φ = 257353763579712.

The previous prime is 386370955255039. The next prime is 386370955255057. The reversal of 386370955255041 is 140552559073683.

The square root of 386370955255041 is 19656321.

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

386370955255041 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 70 + 9 + 5 + 5 + 2 + 550 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39252918996225 + 347118036258816 = 6265215^2 + 18631104^2 .

It is not a de Polignac number, because 386370955255041 - 2¹ = 386370955255039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 386370955255041.

It is not an unprimeable number, because it can be changed into a prime (386370955255141) 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, 91578797430 + ... + 91578801648.

It is a 1-persistent number, because it is pandigital, but 2⋅386370955255041 = 772741910510082 is not.

Almost surely, 2^{386370955255041} is an apocalyptic number.

386370955255041 is the 19656321-st square number.

386370955255041 is the 9828161-st centered octagonal number.

It is an amenable number.

386370955255041 is a deficient number, since it is larger than the sum of its proper divisors (172212416464098).

386370955255041 is an frugal number, since it uses more digits than its factorization.

386370955255041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 386370955255041 in words is "three hundred eighty-six trillion, three hundred seventy billion, nine hundred fifty-five million, two hundred fifty-five thousand, forty-one".