16834366890000 has 3200 divisors, whose sum is σ = 73186172928000. Its totient is φ = 3703553280000.

The previous prime is 16834366889999. The next prime is 16834366890073. The reversal of 16834366890000 is 9866343861.

16834366890000 is a `hidden beast` number, since 1 + 68 + 3 + 436 + 68 + 90 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 132554069937 + ... + 132554070063.

It is an arithmetic number, because the mean of its divisors is an integer number (22870679040).

Almost surely, 2^{16834366890000} is an apocalyptic number.

16834366890000 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 16834366890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36593086464000).

16834366890000 is an abundant number, since it is smaller than the sum of its proper divisors (56351806038000).

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

16834366890000 is a wasteful number, since it uses less digits than its factorization.

16834366890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 16834366890000 in words is "sixteen trillion, eight hundred thirty-four billion, three hundred sixty-six million, eight hundred ninety thousand".