16921890219312 has 240 divisors, whose sum is σ = 51513263995648. Its totient is φ = 5154441039360.

The previous prime is 16921890219307. The next prime is 16921890219313. The reversal of 16921890219312 is 21391209812961.

It is a happy number.

16921890219312 is a `hidden beast` number, since 1 + 6 + 9 + 21 + 8 + 90 + 219 + 312 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16921890219313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 642256923 + ... + 642283269.

Almost surely, 2^{16921890219312} is an apocalyptic number.

16921890219312 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 16921890219312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756631997824).

16921890219312 is an abundant number, since it is smaller than the sum of its proper divisors (34591373776336).

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

16921890219312 is a wasteful number, since it uses less digits than its factorization.

16921890219312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29808 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 16921890219312 in words is "sixteen trillion, nine hundred twenty-one billion, eight hundred ninety million, two hundred nineteen thousand, three hundred twelve".