4601338848 has 72 divisors (see below), whose sum is σ = 13122837000. Its totient is φ = 1529351424.

The previous prime is 4601338843. The next prime is 4601338849. The reversal of 4601338848 is 8488331064.

4601338848 is a `hidden beast` number, since 4 + 601 + 3 + 38 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4601338848² = 42344638388227934208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4601338843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77623 + ... + 123401.

It is an arithmetic number, because the mean of its divisors is an integer number (182261625).

Almost surely, 2^4601338848 is an apocalyptic number.

4601338848 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 4601338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561418500).

4601338848 is an abundant number, since it is smaller than the sum of its proper divisors (8521498152).

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

4601338848 is a wasteful number, since it uses less digits than its factorization.

4601338848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46144 (or 46133 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4601338848 is about 67833.1692315787. The cubic root of 4601338848 is about 1663.2648341164.

The spelling of 4601338848 in words is "four billion, six hundred one million, three hundred thirty-eight thousand, eight hundred forty-eight".