4608860012064 has 288 divisors, whose sum is σ = 16362321131520. Its totient is φ = 1195508160000.

The previous prime is 4608860012017. The next prime is 4608860012083. The reversal of 4608860012064 is 4602100688064.

4608860012064 is a `hidden beast` number, since 460 + 8 + 8 + 6 + 0 + 0 + 120 + 64 = 666.

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

It is a super-2 number, since 2×4608860012064² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16515807 + ... + 16792545.

It is an arithmetic number, because the mean of its divisors is an integer number (56813615040).

Almost surely, 2^{4608860012064} is an apocalyptic number.

4608860012064 is a gapful number since it is divisible by the number (44) 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 4608860012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181160565760).

4608860012064 is an abundant number, since it is smaller than the sum of its proper divisors (11753461119456).

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

4608860012064 is a wasteful number, since it uses less digits than its factorization.

4608860012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277524 (or 277513 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4608860012064 in words is "four trillion, six hundred eight billion, eight hundred sixty million, twelve thousand, sixty-four".