4660830531648 has 224 divisors, whose sum is σ = 13763361774720. Its totient is φ = 1546664232960.

The previous prime is 4660830531619. The next prime is 4660830531689. The reversal of 4660830531648 is 8461350380664.

4660830531648 is a `hidden beast` number, since 4 + 6 + 60 + 8 + 3 + 0 + 531 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4660830531594 and 4660830531603.

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 31 ways as a sum of consecutive naturals, for example, 419246986 + ... + 419258102.

Almost surely, 2^{4660830531648} is an apocalyptic number.

4660830531648 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 4660830531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881680887360).

4660830531648 is an abundant number, since it is smaller than the sum of its proper divisors (9102531243072).

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

4660830531648 is a wasteful number, since it uses less digits than its factorization.

4660830531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4660830531648 in words is "four trillion, six hundred sixty billion, eight hundred thirty million, five hundred thirty-one thousand, six hundred forty-eight".