16334027934336 has 1920 divisors, whose sum is σ = 61856707872960. Its totient is φ = 4266493378560.

The previous prime is 16334027934313. The next prime is 16334027934437. The reversal of 16334027934336 is 63343972043361.

16334027934336 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 4 + 0 + 279 + 34 + 336 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90243248166 + ... + 90243248346.

Almost surely, 2^{16334027934336} is an apocalyptic number.

16334027934336 is a gapful number since it is divisible by the number (16) 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 16334027934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30928353936480).

16334027934336 is an abundant number, since it is smaller than the sum of its proper divisors (45522679938624).

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

16334027934336 is an frugal number, since it uses more digits than its factorization.

16334027934336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

Adding to 16334027934336 its reverse (63343972043361), we get a palindrome (79677999977697).

The spelling of 16334027934336 in words is "sixteen trillion, three hundred thirty-four billion, twenty-seven million, nine hundred thirty-four thousand, three hundred thirty-six".