1834332264864 has 504 divisors, whose sum is σ = 6143791683456. Its totient is φ = 537901689600.

The previous prime is 1834332264841. The next prime is 1834332264881. The reversal of 1834332264864 is 4684622334381.

1834332264864 is a `hidden beast` number, since 1 + 8 + 343 + 32 + 264 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1834332264864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 87492847 + ... + 87513809.

It is an arithmetic number, because the mean of its divisors is an integer number (12190062864).

Almost surely, 2^{1834332264864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834332264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071895841728).

1834332264864 is an abundant number, since it is smaller than the sum of its proper divisors (4309459418592).

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

1834332264864 is a wasteful number, since it uses less digits than its factorization.

1834332264864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21044 (or 21010 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 1834332264864 in words is "one trillion, eight hundred thirty-four billion, three hundred thirty-two million, two hundred sixty-four thousand, eight hundred sixty-four".