834356296512 has 224 divisors, whose sum is σ = 2536082304000. Its totient is φ = 268782852096.

The previous prime is 834356296511. The next prime is 834356296517. The reversal of 834356296512 is 215692653438.

It is a happy number.

834356296512 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 5 + 629 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×834356296512² (a number of 25 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (834356296511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9482673 + ... + 9570255.

It is an arithmetic number, because the mean of its divisors is an integer number (11321796000).

Almost surely, 2^834356296512 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 834356296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268041152000).

834356296512 is an abundant number, since it is smaller than the sum of its proper divisors (1701726007488).

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

834356296512 is a wasteful number, since it uses less digits than its factorization.

834356296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87790 (or 87774 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 834356296512 in words is "eight hundred thirty-four billion, three hundred fifty-six million, two hundred ninety-six thousand, five hundred twelve".