4866463557648 has 1200 divisors, whose sum is σ = 18495037575168. Its totient is φ = 1207802534400.

The previous prime is 4866463557629. The next prime is 4866463557653. The reversal of 4866463557648 is 8467553646684.

4866463557648 is a `hidden beast` number, since 4 + 8 + 6 + 6 + 4 + 6 + 3 + 5 + 576 + 48 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 2824412115 + ... + 2824413837.

Almost surely, 2^{4866463557648} is an apocalyptic number.

4866463557648 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 4866463557648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247518787584).

4866463557648 is an abundant number, since it is smaller than the sum of its proper divisors (13628574017520).

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

4866463557648 is a wasteful number, since it uses less digits than its factorization.

4866463557648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1860 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 72.

The spelling of 4866463557648 in words is "four trillion, eight hundred sixty-six billion, four hundred sixty-three million, five hundred fifty-seven thousand, six hundred forty-eight".