10084695760881 has 225 divisors, whose sum is σ = 18597273450921. Its totient is φ = 5444979463728.

The previous prime is 10084695760759. The next prime is 10084695760889. The reversal of 10084695760881 is 18806759648001.

The square root of 10084695760881 is 3175641.

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

10084695760881 is a `hidden beast` number, since 10 + 0 + 8 + 4 + 6 + 9 + 5 + 7 + 608 + 8 + 1 = 666.

It is not a de Polignac number, because 10084695760881 - 2³¹ = 10082548277233 is a prime.

It is a super-2 number, since 2×10084695760881² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10084695760889) 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 224 ways as a sum of consecutive naturals, for example, 26608695750 + ... + 26608696128.

Almost surely, 2^{10084695760881} is an apocalyptic number.

10084695760881 is the 3175641-st square number.

10084695760881 is the 1587821-st centered octagonal number.

It is an amenable number.

10084695760881 is a deficient number, since it is larger than the sum of its proper divisors (8512577690040).

10084695760881 is an frugal number, since it uses more digits than its factorization.

10084695760881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 10084695760881 in words is "ten trillion, eighty-four billion, six hundred ninety-five million, seven hundred sixty thousand, eight hundred eighty-one".