4516552613664 has 2304 divisors, whose sum is σ = 18417176064000. Its totient is φ = 1062233948160.

The previous prime is 4516552613621. The next prime is 4516552613711. The reversal of 4516552613664 is 4663162556154.

4516552613664 is a `hidden beast` number, since 4 + 5 + 16 + 5 + 5 + 2 + 613 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4516552613664.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21405462519 + ... + 21405462729.

It is an arithmetic number, because the mean of its divisors is an integer number (7993566000).

Almost surely, 2^{4516552613664} 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 4516552613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208588032000).

4516552613664 is an abundant number, since it is smaller than the sum of its proper divisors (13900623450336).

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

4516552613664 is a wasteful number, since it uses less digits than its factorization.

4516552613664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 4516552613664 in words is "four trillion, five hundred sixteen billion, five hundred fifty-two million, six hundred thirteen thousand, six hundred sixty-four".