4806587475648 has 1008 divisors, whose sum is σ = 18479377519200. Its totient is φ = 1182210785280.

The previous prime is 4806587475643. The next prime is 4806587475727. The reversal of 4806587475648 is 8465747856084.

4806587475648 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 58 + 7 + 4 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×4806587475648³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (4806587475643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264365118 + ... + 264383298.

Almost surely, 2^{4806587475648} is an apocalyptic number.

4806587475648 is a gapful number since it is divisible by the number (48) 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 4806587475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239688759600).

4806587475648 is an abundant number, since it is smaller than the sum of its proper divisors (13672790043552).

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

4806587475648 is a wasteful number, since it uses less digits than its factorization.

4806587475648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18278 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 4806587475648 in words is "four trillion, eight hundred six billion, five hundred eighty-seven million, four hundred seventy-five thousand, six hundred forty-eight".