4645334585520 has 240 divisors, whose sum is σ = 15636049228800. Its totient is φ = 1235942662656.

The previous prime is 4645334585501. The next prime is 4645334585527. The reversal of 4645334585520 is 255854335464.

4645334585520 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 3 + 3 + 4 + 585 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4645334585520² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4645334585527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860403781 + ... + 860409179.

It is an arithmetic number, because the mean of its divisors is an integer number (65150205120).

Almost surely, 2^{4645334585520} is an apocalyptic number.

4645334585520 is a gapful number since it is divisible by the number (40) 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 4645334585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818024614400).

4645334585520 is an abundant number, since it is smaller than the sum of its proper divisors (10990714643280).

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

4645334585520 is a wasteful number, since it uses less digits than its factorization.

4645334585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 4645334585520 in words is "four trillion, six hundred forty-five billion, three hundred thirty-four million, five hundred eighty-five thousand, five hundred twenty".