20199501414144 has 864 divisors, whose sum is σ = 66759543818240. Its totient is φ = 5822668800000.

The previous prime is 20199501414139. The next prime is 20199501414223. The reversal of 20199501414144 is 44141410599102.

20199501414144 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 95 + 0 + 1 + 414 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20199501414144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26896805769 + ... + 26896806519.

Almost surely, 2^{20199501414144} is an apocalyptic number.

20199501414144 is a gapful number since it is divisible by the number (24) 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 20199501414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33379771909120).

20199501414144 is an abundant number, since it is smaller than the sum of its proper divisors (46560042404096).

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

20199501414144 is a wasteful number, since it uses less digits than its factorization.

20199501414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20199501414144 in words is "twenty trillion, one hundred ninety-nine billion, five hundred one million, four hundred fourteen thousand, one hundred forty-four".