834564612096 has 196 divisors, whose sum is σ = 2502414192012. Its totient is φ = 278186213376.

The previous prime is 834564612053. The next prime is 834564612139. The reversal of 834564612096 is 690216465438.

834564612096 is a `hidden beast` number, since 83 + 456 + 4 + 6 + 1 + 20 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (834564612053) and next prime (834564612139).

It is a super-3 number, since 3×834564612096³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5902095 + ... + 6041841.

It is an arithmetic number, because the mean of its divisors is an integer number (12767419347).

Almost surely, 2^834564612096 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 834564612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251207096006).

834564612096 is an abundant number, since it is smaller than the sum of its proper divisors (1667849579916).

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

834564612096 is an frugal number, since it uses more digits than its factorization.

834564612096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139791 (or 139752 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 834564612096 in words is "eight hundred thirty-four billion, five hundred sixty-four million, six hundred twelve thousand, ninety-six".