834935407504 has 135 divisors (see below), whose sum is σ = 1878348436209. Its totient is φ = 359212613760.

The previous prime is 834935407459. The next prime is 834935407519. The reversal of 834935407504 is 405704539438.

It is a happy number.

The square root of 834935407504 is 913748.

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

It can be written as a sum of positive squares in only one way, i.e., 822757843600 + 12177563904 = 907060^2 + 110352^2 .

It is a super-3 number, since 3×834935407504³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 763892782 + ... + 763893874.

Almost surely, 2^834935407504 is an apocalyptic number.

834935407504 is the 913748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834935407504

834935407504 is an abundant number, since it is smaller than the sum of its proper divisors (1043413028705).

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

834935407504 is a wasteful number, since it uses less digits than its factorization.

834935407504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 834935407504 in words is "eight hundred thirty-four billion, nine hundred thirty-five million, four hundred seven thousand, five hundred four".