8193146256 has 135 divisors (see below), whose sum is σ = 24260868801. Its totient is φ = 2580792192.

The previous prime is 8193146249. The next prime is 8193146261. The reversal of 8193146256 is 6526413918.

The square root of 8193146256 is 90516.

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

8193146256 is a `hidden beast` number, since 8 + 1 + 9 + 3 + 14 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5490810000 + 2702336256 = 74100^2 + 51984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20637450 + ... + 20637846.

Almost surely, 2^8193146256 is an apocalyptic number.

8193146256 is the 90516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8193146256

8193146256 is an abundant number, since it is smaller than the sum of its proper divisors (16067722545).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8193146256 is a wasteful number, since it uses less digits than its factorization.

8193146256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 421 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 8193146256 is about 2015.9676983676.

It can be divided in two parts, 8193 and 146256, that added together give a square (154449 = 393²).

The spelling of 8193146256 in words is "eight billion, one hundred ninety-three million, one hundred forty-six thousand, two hundred fifty-six".