1834208481120 has 288 divisors, whose sum is σ = 6294577443840. Its totient is φ = 448429962240.

The previous prime is 1834208481109. The next prime is 1834208481173. The reversal of 1834208481120 is 211848024381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5200951 + ... + 5542409.

It is an arithmetic number, because the mean of its divisors is an integer number (21856171680).

Almost surely, 2^{1834208481120} is an apocalyptic number.

1834208481120 is a gapful number since it is divisible by the number (10) 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 1834208481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147288721920).

1834208481120 is an abundant number, since it is smaller than the sum of its proper divisors (4460368962720).

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

1834208481120 is a wasteful number, since it uses less digits than its factorization.

1834208481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341546 (or 341519 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 1834208481120 in words is "one trillion, eight hundred thirty-four billion, two hundred eight million, four hundred eighty-one thousand, one hundred twenty".