4648818956544 has 1701 divisors, whose sum is σ = 17481967058619. Its totient is φ = 1229501306880.

The previous prime is 4648818956503. The next prime is 4648818956549. The reversal of 4648818956544 is 4456598188464.

The square root of 4648818956544 is 2156112.

It is a perfect power (a square), and thus also a powerful number.

4648818956544 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 8 + 18 + 9 + 565 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1701).

It is a super-2 number, since 2×4648818956544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4648818956549) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 149961901809 + ... + 149961901839.

Almost surely, 2^{4648818956544} is an apocalyptic number.

4648818956544 is the 2156112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4648818956544

4648818956544 is an abundant number, since it is smaller than the sum of its proper divisors (12833148102075).

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

4648818956544 is an frugal number, since it uses more digits than its factorization.

4648818956544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 66 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 4648818956544 in words is "four trillion, six hundred forty-eight billion, eight hundred eighteen million, nine hundred fifty-six thousand, five hundred forty-four".