4585096656 has 240 divisors, whose sum is σ = 15860841984. Its totient is φ = 1206521856.

The previous prime is 4585096631. The next prime is 4585096657. The reversal of 4585096656 is 6566905854.

4585096656 is a `hidden beast` number, since 4 + 585 + 0 + 9 + 6 + 6 + 56 = 666.

It is a super-2 number, since 2×4585096656² = 42046222689724764672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4585096657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802546 + ... + 808238.

Almost surely, 2^4585096656 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 4585096656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930420992).

4585096656 is an abundant number, since it is smaller than the sum of its proper divisors (11275745328).

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

4585096656 is a wasteful number, since it uses less digits than its factorization.

4585096656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The square root of 4585096656 is about 67713.3417872726. The cubic root of 4585096656 is about 1661.3054829477.

The spelling of 4585096656 in words is "four billion, five hundred eighty-five million, ninety-six thousand, six hundred fifty-six".