416949152656 has 45 divisors (see below), whose sum is σ = 815869234803. Its totient is φ = 206422490880.

The previous prime is 416949152569. The next prime is 416949152701. The reversal of 416949152656 is 656251949614.

The square root of 416949152656 is 645716.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7041895056 + 409907257600 = 83916^2 + 640240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416949152656.

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, 281531436 + ... + 281532916.

Almost surely, 2^416949152656 is an apocalyptic number.

416949152656 is the 645716-th square number.

It is an amenable number.

416949152656 is a deficient number, since it is larger than the sum of its proper divisors (398920082147).

416949152656 is an frugal number, since it uses more digits than its factorization.

416949152656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 1592 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 58.

The spelling of 416949152656 in words is "four hundred sixteen billion, nine hundred forty-nine million, one hundred fifty-two thousand, six hundred fifty-six".