4601138256 has 600 divisors, whose sum is σ = 16455156872. Its totient is φ = 1231718400.

The previous prime is 4601138233. The next prime is 4601138263. The reversal of 4601138256 is 6528311064.

It is a happy number.

4601138256 is a `hidden beast` number, since 460 + 113 + 82 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 4531982400 = 8316^2 + 67320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4601138256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75428466 + ... + 75428526.

Almost surely, 2^4601138256 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 4601138256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227578436).

4601138256 is an abundant number, since it is smaller than the sum of its proper divisors (11854018616).

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

4601138256 is a wasteful number, since it uses less digits than its factorization.

4601138256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4601138256 is about 67831.6906467766. The cubic root of 4601138256 is about 1663.2406641607.

The spelling of 4601138256 in words is "four billion, six hundred one million, one hundred thirty-eight thousand, two hundred fifty-six".