4591603872 has 144 divisors (see below), whose sum is σ = 13680576000. Its totient is φ = 1458842112.

The previous prime is 4591603871. The next prime is 4591603903. The reversal of 4591603872 is 2783061954.

4591603872 is a `hidden beast` number, since 459 + 160 + 38 + 7 + 2 = 666.

4591603872 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4591603872² = 42165652234730784768, which contains 22 as substring.

4591603872 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (4591603871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656329 + ... + 663287.

It is an arithmetic number, because the mean of its divisors is an integer number (95004000).

It is a 1-persistent number, because it is pandigital, but 2⋅4591603872 = 9183207744 is not.

Almost surely, 2^4591603872 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 4591603872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840288000).

4591603872 is an abundant number, since it is smaller than the sum of its proper divisors (9088972128).

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

4591603872 is a wasteful number, since it uses less digits than its factorization.

4591603872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4591603872 is about 67761.3744842886. The cubic root of 4591603872 is about 1662.0910253508.

The spelling of 4591603872 in words is "four billion, five hundred ninety-one million, six hundred three thousand, eight hundred seventy-two".