834349114368 has 1056 divisors, whose sum is σ = 3160824775680. Its totient is φ = 205674577920.

The previous prime is 834349114351. The next prime is 834349114387. The reversal of 834349114368 is 863411943438.

834349114368 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 491 + 143 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×834349114368² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1129024143 + ... + 1129024881.

It is an arithmetic number, because the mean of its divisors is an integer number (2993205280).

Almost surely, 2^834349114368 is an apocalyptic number.

834349114368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834349114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580412387840).

834349114368 is an abundant number, since it is smaller than the sum of its proper divisors (2326475661312).

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

834349114368 is a wasteful number, since it uses less digits than its factorization.

834349114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 842 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 834349114368 in words is "eight hundred thirty-four billion, three hundred forty-nine million, one hundred fourteen thousand, three hundred sixty-eight".