2168644401000 has 4608 divisors, whose sum is σ = 10899173376000. Its totient is φ = 395176320000.

The previous prime is 2168644400987. The next prime is 2168644401067. The reversal of 2168644401000 is 1044468612.

It is a happy number.

2168644401000 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 644 + 4 + 0 + 1 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 69956270985 + ... + 69956271015.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272000).

Almost surely, 2^{2168644401000} is an apocalyptic number.

2168644401000 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 2168644401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449586688000).

2168644401000 is an abundant number, since it is smaller than the sum of its proper divisors (8730528975000).

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

2168644401000 is a wasteful number, since it uses less digits than its factorization.

2168644401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 2168644401000 its reverse (1044468612), we get a palindrome (2169688869612).

The spelling of 2168644401000 in words is "two trillion, one hundred sixty-eight billion, six hundred forty-four million, four hundred one thousand".