855756355041 has 189 divisors, whose sum is σ = 1543281883923. Its totient is φ = 456911068320.

The previous prime is 855756355033. The next prime is 855756355049. The reversal of 855756355041 is 140553657558.

The square root of 855756355041 is 925071.

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

855756355041 is a `hidden beast` number, since 8 + 5 + 5 + 75 + 63 + 5 + 504 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (855756355033) and next prime (855756355049).

It can be written as a sum of positive squares in only one way, i.e., 448737874641 + 407018480400 = 669879^2 + 637980^2 .

It is not a de Polignac number, because 855756355041 - 2³ = 855756355033 is a prime.

It is a super-2 number, since 2×855756355041² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (855756355049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 27605043696 + ... + 27605043726.

Almost surely, 2^855756355041 is an apocalyptic number.

855756355041 is the 925071-st square number.

855756355041 is the 462536-th centered octagonal number.

It is an amenable number.

855756355041 is a deficient number, since it is larger than the sum of its proper divisors (687525528882).

855756355041 is an frugal number, since it uses more digits than its factorization.

855756355041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 855756355041 in words is "eight hundred fifty-five billion, seven hundred fifty-six million, three hundred fifty-five thousand, forty-one".