4645501056 has 576 divisors, whose sum is σ = 16978740480. Its totient is φ = 1210761216.

The previous prime is 4645501051. The next prime is 4645501093. The reversal of 4645501056 is 6501055464.

4645501056 is a `hidden beast` number, since 4 + 645 + 5 + 0 + 1 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4645501056² = 43161360122594230272, which contains 22 as substring.

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 4645501056.

It is not an unprimeable number, because it can be changed into a prime (4645501051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45101901 + ... + 45102003.

It is an arithmetic number, because the mean of its divisors is an integer number (29476980).

Almost surely, 2^4645501056 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 4645501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489370240).

4645501056 is an abundant number, since it is smaller than the sum of its proper divisors (12333239424).

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

4645501056 is a wasteful number, since it uses less digits than its factorization.

4645501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4645501056 is about 68157.9126440944. The cubic root of 4645501056 is about 1668.5690655320.

The spelling of 4645501056 in words is "four billion, six hundred forty-five million, five hundred one thousand, fifty-six".