20846310807168 has 576 divisors, whose sum is σ = 76724751467520. Its totient is φ = 5371971010560.

The previous prime is 20846310807083. The next prime is 20846310807197. The reversal of 20846310807168 is 86170801364802.

20846310807168 is a `hidden beast` number, since 2 + 0 + 8 + 463 + 10 + 8 + 0 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78725680 + ... + 78990032.

It is an arithmetic number, because the mean of its divisors is an integer number (133202693520).

Almost surely, 2^{20846310807168} is an apocalyptic number.

20846310807168 is a gapful number since it is divisible by the number (28) 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 20846310807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38362375733760).

20846310807168 is an abundant number, since it is smaller than the sum of its proper divisors (55878440660352).

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

20846310807168 is a wasteful number, since it uses less digits than its factorization.

20846310807168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264525 (or 264503 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20846310807168 in words is "twenty trillion, eight hundred forty-six billion, three hundred ten million, eight hundred seven thousand, one hundred sixty-eight".