2160417213144 has 144 divisors (see below), whose sum is σ = 5976854699400. Its totient is φ = 704833519104.

The previous prime is 2160417213089. The next prime is 2160417213169. The reversal of 2160417213144 is 4413127140612.

2160417213144 is a `hidden beast` number, since 2 + 1 + 604 + 1 + 7 + 2 + 1 + 3 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2160417213099 and 2160417213108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118897692 + ... + 118915860.

Almost surely, 2^{2160417213144} is an apocalyptic number.

2160417213144 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 2160417213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988427349700).

2160417213144 is an abundant number, since it is smaller than the sum of its proper divisors (3816437486256).

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

2160417213144 is a wasteful number, since it uses less digits than its factorization.

2160417213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18398 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2160417213144 in words is "two trillion, one hundred sixty billion, four hundred seventeen million, two hundred thirteen thousand, one hundred forty-four".