4656456288 has 192 divisors, whose sum is σ = 14971703040. Its totient is φ = 1396224000.

The previous prime is 4656456271. The next prime is 4656456307. The reversal of 4656456288 is 8826546564.

4656456288 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 4 + 5 + 628 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919363 + ... + 924413.

It is an arithmetic number, because the mean of its divisors is an integer number (77977620).

Almost surely, 2^4656456288 is an apocalyptic number.

4656456288 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 4656456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485851520).

4656456288 is an abundant number, since it is smaller than the sum of its proper divisors (10315246752).

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

4656456288 is a wasteful number, since it uses less digits than its factorization.

4656456288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5164 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 4656456288 is about 68238.2318645494. The cubic root of 4656456288 is about 1669.8796676656.

The spelling of 4656456288 in words is "four billion, six hundred fifty-six million, four hundred fifty-six thousand, two hundred eighty-eight".