1830686292864 has 2304 divisors, whose sum is σ = 7167640596480. Its totient is φ = 459841536000.

The previous prime is 1830686292859. The next prime is 1830686292931. The reversal of 1830686292864 is 4682926860381.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25784313949 + ... + 25784314019.

It is an arithmetic number, because the mean of its divisors is an integer number (3110955120).

Almost surely, 2^{1830686292864} 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 1830686292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583820298240).

1830686292864 is an abundant number, since it is smaller than the sum of its proper divisors (5336954303616).

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

1830686292864 is a wasteful number, since it uses less digits than its factorization.

1830686292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 1830686292864 in words is "one trillion, eight hundred thirty billion, six hundred eighty-six million, two hundred ninety-two thousand, eight hundred sixty-four".