2168363861664 has 1536 divisors, whose sum is σ = 8540009791488. Its totient is φ = 462938112000.

The previous prime is 2168363861663. The next prime is 2168363861683. The reversal of 2168363861664 is 4661683638612.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2168363861598 and 2168363861607.

It is not an unprimeable number, because it can be changed into a prime (2168363861663) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2380201369 + ... + 2380202279.

It is an arithmetic number, because the mean of its divisors is an integer number (5559902208).

Almost surely, 2^{2168363861664} is an apocalyptic number.

2168363861664 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 2168363861664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270004895744).

2168363861664 is an abundant number, since it is smaller than the sum of its proper divisors (6371645929824).

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

2168363861664 is a wasteful number, since it uses less digits than its factorization.

2168363861664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1042 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 60.

The spelling of 2168363861664 in words is "two trillion, one hundred sixty-eight billion, three hundred sixty-three million, eight hundred sixty-one thousand, six hundred sixty-four".