2149559859168 has 288 divisors, whose sum is σ = 6382639710720. Its totient is φ = 685620357120.

The previous prime is 2149559859121. The next prime is 2149559859179. The reversal of 2149559859168 is 8619589559412.

2149559859168 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 559 + 8 + 5 + 9 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2149559859096 and 2149559859105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325342521 + ... + 325349127.

It is an arithmetic number, because the mean of its divisors is an integer number (22161943440).

Almost surely, 2^{2149559859168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149559859168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191319855360).

2149559859168 is an abundant number, since it is smaller than the sum of its proper divisors (4233079851552).

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

2149559859168 is a wasteful number, since it uses less digits than its factorization.

2149559859168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190 (or 7179 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 72.

The spelling of 2149559859168 in words is "two trillion, one hundred forty-nine billion, five hundred fifty-nine million, eight hundred fifty-nine thousand, one hundred sixty-eight".