906844816656 has 45 divisors (see below), whose sum is σ = 2537937961221. Its totient is φ = 302277796416.

The previous prime is 906844816643. The next prime is 906844816723. The reversal of 906844816656 is 656618448609.

The square root of 906844816656 is 952284.

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

906844816656 is a `hidden beast` number, since 90 + 6 + 8 + 4 + 481 + 6 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 465970064400 + 440874752256 = 682620^2 + 663984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 906844816593 and 906844816602.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11387730 + ... + 11467086.

Almost surely, 2^906844816656 is an apocalyptic number.

906844816656 is the 952284-th square number.

It is an amenable number.

906844816656 is an abundant number, since it is smaller than the sum of its proper divisors (1631093144565).

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

906844816656 is an frugal number, since it uses more digits than its factorization.

906844816656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158728 (or 79362 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 906844816656 in words is "nine hundred six billion, eight hundred forty-four million, eight hundred sixteen thousand, six hundred fifty-six".