20250219803814 has 1024 divisors, whose sum is σ = 64767983616000. Its totient is φ = 4515787584000.

The previous prime is 20250219803809. The next prime is 20250219803851. The reversal of 20250219803814 is 41830891205202.

20250219803814 is a `hidden beast` number, since 2 + 0 + 2 + 50 + 219 + 8 + 0 + 381 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20250219803814.

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 511 ways as a sum of consecutive naturals, for example, 24136137607 + ... + 24136138445.

It is an arithmetic number, because the mean of its divisors is an integer number (63249984000).

Almost surely, 2^{20250219803814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20250219803814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32383991808000).

20250219803814 is an abundant number, since it is smaller than the sum of its proper divisors (44517763812186).

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

20250219803814 is a wasteful number, since it uses less digits than its factorization.

20250219803814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20250219803814 in words is "twenty trillion, two hundred fifty billion, two hundred nineteen million, eight hundred three thousand, eight hundred fourteen".