834417649656 has 48 divisors (see below), whose sum is σ = 2332780532160. Its totient is φ = 269166983040.

The previous prime is 834417649609. The next prime is 834417649753. The reversal of 834417649656 is 656946714438.

834417649656 is a `hidden beast` number, since 8 + 34 + 41 + 76 + 496 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 834417649593 and 834417649602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186919285 + ... + 186923748.

It is an arithmetic number, because the mean of its divisors is an integer number (48599594420).

Almost surely, 2^834417649656 is an apocalyptic number.

It is an amenable number.

834417649656 is an abundant number, since it is smaller than the sum of its proper divisors (1498362882504).

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

834417649656 is a wasteful number, since it uses less digits than its factorization.

834417649656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373843076 (or 373843069 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 834417649656 in words is "eight hundred thirty-four billion, four hundred seventeen million, six hundred forty-nine thousand, six hundred fifty-six".