8106172013956 has 27 divisors (see below), whose sum is σ = 14291478198277. Its totient is φ = 4023114227360.

The previous prime is 8106172013917. The next prime is 8106172013957. The reversal of 8106172013956 is 6593102716018.

The square root of 8106172013956 is 2847134.

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

It can be written as a sum of positive squares in only one way, i.e., 4761604052100 + 3344567961856 = 2182110^2 + 1828816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8106172013957) 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 8 ways as a sum of consecutive naturals, for example, 780109521 + ... + 780119911.

Almost surely, 2^{8106172013956} is an apocalyptic number.

8106172013956 is the 2847134-th square number.

It is an amenable number.

8106172013956 is a deficient number, since it is larger than the sum of its proper divisors (6185306184321).

8106172013956 is an frugal number, since it uses more digits than its factorization.

8106172013956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 8106172013956 by its sum of digits (49), we get a square (397202428683844 = 19929938²).

The spelling of 8106172013956 in words is "eight trillion, one hundred six billion, one hundred seventy-two million, thirteen thousand, nine hundred fifty-six".