20322046166400 has 1152 divisors, whose sum is σ = 81439365047040. Its totient is φ = 4782635827200.

The previous prime is 20322046166291. The next prime is 20322046166413. The reversal of 20322046166400 is 466164022302.

20322046166400 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 2 + 0 + 4 + 6 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2274936334 + ... + 2274945266.

It is an arithmetic number, because the mean of its divisors is an integer number (70693893270).

Almost surely, 2^{20322046166400} is an apocalyptic number.

20322046166400 is a gapful number since it is divisible by the number (20) 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 20322046166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40719682523520).

20322046166400 is an abundant number, since it is smaller than the sum of its proper divisors (61117318880640).

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

20322046166400 is a wasteful number, since it uses less digits than its factorization.

20322046166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20322046166400 in words is "twenty trillion, three hundred twenty-two billion, forty-six million, one hundred sixty-six thousand, four hundred".