4913243516160 has 2880 divisors, whose sum is σ = 22309214780160. Its totient is φ = 1032386052096.

The previous prime is 4913243516099. The next prime is 4913243516161. The reversal of 4913243516160 is 616153423194.

4913243516160 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 24 + 3 + 5 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4913243516160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4913243516161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 114261477099 + ... + 114261477141.

It is an arithmetic number, because the mean of its divisors is an integer number (7746255132).

Almost surely, 2^{4913243516160} is an apocalyptic number.

4913243516160 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 4913243516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154607390080).

4913243516160 is an abundant number, since it is smaller than the sum of its proper divisors (17395971264000).

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

4913243516160 is an frugal number, since it uses more digits than its factorization.

4913243516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4913243516160 in words is "four trillion, nine hundred thirteen billion, two hundred forty-three million, five hundred sixteen thousand, one hundred sixty".