4576461648 has 80 divisors (see below), whose sum is σ = 12954456576. Its totient is φ = 1380661120.

The previous prime is 4576461629. The next prime is 4576461677. The reversal of 4576461648 is 8461646754.

It is a super-2 number, since 2×4576461648² = 41888002431229751808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4576461648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100765 + ... + 138947.

Almost surely, 2^4576461648 is an apocalyptic number.

4576461648 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 4576461648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477228288).

4576461648 is an abundant number, since it is smaller than the sum of its proper divisors (8377994928).

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

4576461648 is a wasteful number, since it uses less digits than its factorization.

4576461648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38432 (or 38426 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 4576461648 is about 67649.5502424074. The cubic root of 4576461648 is about 1660.2619279918.

The spelling of 4576461648 in words is "four billion, five hundred seventy-six million, four hundred sixty-one thousand, six hundred forty-eight".