4657948992 has 168 divisors, whose sum is σ = 13912778880. Its totient is φ = 1488660480.

The previous prime is 4657948991. The next prime is 4657949039. The reversal of 4657948992 is 2998497564.

4657948992 is a `hidden beast` number, since 4 + 65 + 7 + 9 + 489 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657948991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391673 + ... + 1395015.

It is an arithmetic number, because the mean of its divisors is an integer number (82814160).

Almost surely, 2^4657948992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4657948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956389440).

4657948992 is an abundant number, since it is smaller than the sum of its proper divisors (9254829888).

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

4657948992 is a wasteful number, since it uses less digits than its factorization.

4657948992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3448 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 4657948992 is about 68249.1684344945. The cubic root of 4657948992 is about 1670.0580844415.

The spelling of 4657948992 in words is "four billion, six hundred fifty-seven million, nine hundred forty-eight thousand, nine hundred ninety-two".