834164255904 has 192 divisors, whose sum is σ = 2584053964800. Its totient is φ = 230569896960.

The previous prime is 834164255857. The next prime is 834164255933. The reversal of 834164255904 is 409552461438.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106218442 + ... + 106226294.

It is an arithmetic number, because the mean of its divisors is an integer number (13458614400).

Almost surely, 2^834164255904 is an apocalyptic number.

834164255904 is a gapful number since it is divisible by the number (84) 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 834164255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292026982400).

834164255904 is an abundant number, since it is smaller than the sum of its proper divisors (1749889708896).

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

834164255904 is a wasteful number, since it uses less digits than its factorization.

834164255904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 834164255904 in words is "eight hundred thirty-four billion, one hundred sixty-four million, two hundred fifty-five thousand, nine hundred four".