1834193534250 has 512 divisors, whose sum is σ = 5837626589184. Its totient is φ = 375661440000.

The previous prime is 1834193534249. The next prime is 1834193534263. The reversal of 1834193534250 is 524353914381.

It is a self number, because there is not a number n which added to its sum of digits gives 1834193534250.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 496128402 + ... + 496132098.

It is an arithmetic number, because the mean of its divisors is an integer number (11401614432).

Almost surely, 2^{1834193534250} is an apocalyptic number.

1834193534250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834193534250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918813294592).

1834193534250 is an abundant number, since it is smaller than the sum of its proper divisors (4003433054934).

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

1834193534250 is a wasteful number, since it uses less digits than its factorization.

1834193534250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 1834193534250 in words is "one trillion, eight hundred thirty-four billion, one hundred ninety-three million, five hundred thirty-four thousand, two hundred fifty".