1834133916420 has 144 divisors (see below), whose sum is σ = 5993810130672. Its totient is φ = 451305354240.

The previous prime is 1834133916403. The next prime is 1834133916421. The reversal of 1834133916420 is 246193314381.

1834133916420 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 133 + 91 + 6 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9216 + 1834133907204 = 96^2 + 1354302^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1834133916421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5983614 + ... + 6282666.

It is an arithmetic number, because the mean of its divisors is an integer number (41623681463).

Almost surely, 2^{1834133916420} is an apocalyptic number.

1834133916420 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 1834133916420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996905065336).

1834133916420 is an abundant number, since it is smaller than the sum of its proper divisors (4159676214252).

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

1834133916420 is a wasteful number, since it uses less digits than its factorization.

1834133916420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301702 (or 301697 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1834133916420 in words is "one trillion, eight hundred thirty-four billion, one hundred thirty-three million, nine hundred sixteen thousand, four hundred twenty".