834310743552 has 1440 divisors, whose sum is σ = 3042845245440. Its totient is φ = 218242252800.

The previous prime is 834310743517. The next prime is 834310743577. The reversal of 834310743552 is 255347013438.

834310743552 is a `hidden beast` number, since 8 + 3 + 43 + 10 + 7 + 43 + 552 = 666.

It is a super-2 number, since 2×834310743552² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 834310743498 and 834310743507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10560895449 + ... + 10560895527.

It is an arithmetic number, because the mean of its divisors is an integer number (2113086976).

Almost surely, 2^834310743552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834310743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521422622720).

834310743552 is an abundant number, since it is smaller than the sum of its proper divisors (2208534501888).

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

834310743552 is a wasteful number, since it uses less digits than its factorization.

834310743552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 834310743552 in words is "eight hundred thirty-four billion, three hundred ten million, seven hundred forty-three thousand, five hundred fifty-two".