4641144673536 has 576 divisors, whose sum is σ = 17056994895360. Its totient is φ = 1214300160000.

The previous prime is 4641144673531. The next prime is 4641144673577. The reversal of 4641144673536 is 6353764411464.

4641144673536 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 1 + 44 + 67 + 3 + 536 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641144673531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30357286 + ... + 30509786.

It is an arithmetic number, because the mean of its divisors is an integer number (29612838360).

Almost surely, 2^{4641144673536} 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 4641144673536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528497447680).

4641144673536 is an abundant number, since it is smaller than the sum of its proper divisors (12415850221824).

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

4641144673536 is a wasteful number, since it uses less digits than its factorization.

4641144673536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152587 (or 152567 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 4641144673536 in words is "four trillion, six hundred forty-one billion, one hundred forty-four million, six hundred seventy-three thousand, five hundred thirty-six".