4604899196160 has 1080 divisors, whose sum is σ = 17218506440520. Its totient is φ = 1174964797440.

The previous prime is 4604899196113. The next prime is 4604899196171. The reversal of 4604899196160 is 616919984064.

4604899196160 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 8 + 9 + 9 + 1 + 9 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258975138816 + 4345924057344 = 508896^2 + 2084688^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11258922036 + ... + 11258922444.

It is an arithmetic number, because the mean of its divisors is an integer number (15943061519).

Almost surely, 2^{4604899196160} is an apocalyptic number.

4604899196160 is a gapful number since it is divisible by the number (40) 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 4604899196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609253220260).

4604899196160 is an abundant number, since it is smaller than the sum of its proper divisors (12613607244360).

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

4604899196160 is a wasteful number, since it uses less digits than its factorization.

4604899196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 4604899196160 in words is "four trillion, six hundred four billion, eight hundred ninety-nine million, one hundred ninety-six thousand, one hundred sixty".