16834303623312 has 480 divisors, whose sum is σ = 54988560506880. Its totient is φ = 4708689822720.

The previous prime is 16834303623311. The next prime is 16834303623353. The reversal of 16834303623312 is 21332630343861.

16834303623312 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 4 + 3 + 0 + 3 + 623 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (16834303623311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4754108262 + ... + 4754111802.

It is an arithmetic number, because the mean of its divisors is an integer number (114559501056).

Almost surely, 2^{16834303623312} is an apocalyptic number.

16834303623312 is a gapful number since it is divisible by the number (12) 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 16834303623312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27494280253440).

16834303623312 is an abundant number, since it is smaller than the sum of its proper divisors (38154256883568).

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

16834303623312 is a wasteful number, since it uses less digits than its factorization.

16834303623312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 16834303623312 in words is "sixteen trillion, eight hundred thirty-four billion, three hundred three million, six hundred twenty-three thousand, three hundred twelve".