4577445648 has 160 divisors (see below), whose sum is σ = 14432409600. Its totient is φ = 1382603904.

The previous prime is 4577445643. The next prime is 4577445659. The reversal of 4577445648 is 8465447754.

4577445648 is a `hidden beast` number, since 4 + 5 + 7 + 74 + 4 + 564 + 8 = 666.

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 = 4577445594 and 4577445603.

It is not an unprimeable number, because it can be changed into a prime (4577445641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176661 + ... + 200907.

It is an arithmetic number, because the mean of its divisors is an integer number (90202560).

Almost surely, 2^4577445648 is an apocalyptic number.

4577445648 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 4577445648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216204800).

4577445648 is an abundant number, since it is smaller than the sum of its proper divisors (9854963952).

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

4577445648 is a wasteful number, since it uses less digits than its factorization.

4577445648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24306 (or 24294 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 54.

The square root of 4577445648 is about 67656.8226271379. The cubic root of 4577445648 is about 1660.3809122485.

The spelling of 4577445648 in words is "four billion, five hundred seventy-seven million, four hundred forty-five thousand, six hundred forty-eight".