4656966048 has 480 divisors, whose sum is σ = 16486170624. Its totient is φ = 1261951488.

The previous prime is 4656966047. The next prime is 4656966049. The reversal of 4656966048 is 8406696564.

It is an interprime number because it is at equal distance from previous prime (4656966047) and next prime (4656966049).

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 = 4656965985 and 4656966003.

It is not an unprimeable number, because it can be changed into a prime (4656966047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36668961 + ... + 36669087.

Almost surely, 2^4656966048 is an apocalyptic number.

4656966048 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 4656966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243085312).

4656966048 is an abundant number, since it is smaller than the sum of its proper divisors (11829204576).

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

4656966048 is a wasteful number, since it uses less digits than its factorization.

4656966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 4656966048 is about 68241.9669118644. The cubic root of 4656966048 is about 1669.9406014706.

The spelling of 4656966048 in words is "four billion, six hundred fifty-six million, nine hundred sixty-six thousand, forty-eight".