4559895648 has 720 divisors, whose sum is σ = 17649257472. Its totient is φ = 1129075200.

The previous prime is 4559895643. The next prime is 4559895661. The reversal of 4559895648 is 8465989554.

4559895648 is a `hidden beast` number, since 455 + 98 + 9 + 56 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4559895643) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68058111 + ... + 68058177.

Almost surely, 2^4559895648 is an apocalyptic number.

4559895648 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 4559895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824628736).

4559895648 is an abundant number, since it is smaller than the sum of its proper divisors (13089361824).

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

4559895648 is a wasteful number, since it uses less digits than its factorization.

4559895648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The square root of 4559895648 is about 67526.9994002399. Note that the first 3 decimals coincide. The cubic root of 4559895648 is about 1658.2562188822.

It can be divided in two parts, 45598 and 95648, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 4559895648 in words is "four billion, five hundred fifty-nine million, eight hundred ninety-five thousand, six hundred forty-eight".