4581544464 has 160 divisors (see below), whose sum is σ = 15284736000. Its totient is φ = 1286775936.

The previous prime is 4581544447. The next prime is 4581544481. The reversal of 4581544464 is 4644451854.

4581544464 is a `hidden beast` number, since 4 + 58 + 154 + 446 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4581544447) and next prime (4581544481).

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, 165577 + ... + 191255.

It is an arithmetic number, because the mean of its divisors is an integer number (95529600).

Almost surely, 2^4581544464 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 4581544464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642368000).

4581544464 is an abundant number, since it is smaller than the sum of its proper divisors (10703191536).

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

4581544464 is a wasteful number, since it uses less digits than its factorization.

4581544464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25762 (or 25750 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 4581544464 is about 67687.1070736518. The cubic root of 4581544464 is about 1660.8763534512.

The spelling of 4581544464 in words is "four billion, five hundred eighty-one million, five hundred forty-four thousand, four hundred sixty-four".