1834350086520 has 192 divisors, whose sum is σ = 6815422710720. Its totient is φ = 419149412352.

The previous prime is 1834350086489. The next prime is 1834350086557. The reversal of 1834350086520 is 256800534381.

1834350086520 is a `hidden beast` number, since 1 + 8 + 3 + 43 + 5 + 0 + 0 + 86 + 520 = 666.

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

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, 8095894 + ... + 8319386.

It is an arithmetic number, because the mean of its divisors is an integer number (35496993285).

Almost surely, 2^{1834350086520} is an apocalyptic number.

1834350086520 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 1834350086520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407711355360).

1834350086520 is an abundant number, since it is smaller than the sum of its proper divisors (4981072624200).

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

1834350086520 is a wasteful number, since it uses less digits than its factorization.

1834350086520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226774 (or 226767 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1834350086520 in words is "one trillion, eight hundred thirty-four billion, three hundred fifty million, eighty-six thousand, five hundred twenty".