855993189601 has 27 divisors (see below), whose sum is σ = 947520298809. Its totient is φ = 772726204800.

The previous prime is 855993189599. The next prime is 855993189613. The reversal of 855993189601 is 106981399558.

The square root of 855993189601 is 925199.

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 202320939601 + 653672250000 = 449801^2 + 808500^2 .

It is not a de Polignac number, because 855993189601 - 2¹ = 855993189599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (855993189671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2452702375 + ... + 2452702723.

Almost surely, 2^855993189601 is an apocalyptic number.

855993189601 is the 925199-th square number.

855993189601 is the 462600-th centered octagonal number.

It is an amenable number.

855993189601 is a deficient number, since it is larger than the sum of its proper divisors (91527109208).

855993189601 is an frugal number, since it uses more digits than its factorization.

855993189601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 64.

Multiplying 855993189601 by its sum of digits (64), we get a square (54783564134464 = 7401592²).

The spelling of 855993189601 in words is "eight hundred fifty-five billion, nine hundred ninety-three million, one hundred eighty-nine thousand, six hundred one".