834639393456 has 160 divisors (see below), whose sum is σ = 2634098073600. Its totient is φ = 250929342720.

The previous prime is 834639393439. The next prime is 834639393461. The reversal of 834639393456 is 654393936438.

It is a happy number.

834639393456 is a `hidden beast` number, since 8 + 3 + 4 + 6 + 3 + 93 + 93 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 834639393393 and 834639393402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87991 + ... + 1294998.

It is an arithmetic number, because the mean of its divisors is an integer number (16463112960).

Almost surely, 2^834639393456 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 834639393456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317049036800).

834639393456 is an abundant number, since it is smaller than the sum of its proper divisors (1799458680144).

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

834639393456 is a wasteful number, since it uses less digits than its factorization.

834639393456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383144 (or 1383132 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 63.

The spelling of 834639393456 in words is "eight hundred thirty-four billion, six hundred thirty-nine million, three hundred ninety-three thousand, four hundred fifty-six".