834334992000 has 1280 divisors, whose sum is σ = 3370136140800. Its totient is φ = 203793408000.

The previous prime is 834334991989. The next prime is 834334992011. The reversal of 834334992000 is 299433438.

834334992000 is a `hidden beast` number, since 8 + 3 + 433 + 4 + 9 + 9 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (834334991989) and next prime (834334992011).

It is a super-2 number, since 2×834334992000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 763343454 + ... + 763344546.

It is an arithmetic number, because the mean of its divisors is an integer number (2632918860).

Almost surely, 2^834334992000 is an apocalyptic number.

834334992000 is a gapful number since it is divisible by the number (80) 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 834334992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685068070400).

834334992000 is an abundant number, since it is smaller than the sum of its proper divisors (2535801148800).

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

834334992000 is a wasteful number, since it uses less digits than its factorization.

834334992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 834334992000 in words is "eight hundred thirty-four billion, three hundred thirty-four million, nine hundred ninety-two thousand".