5616723216384 has 576 divisors, whose sum is σ = 19471964803200. Its totient is φ = 1595040104448.

The previous prime is 5616723216371. The next prime is 5616723216413. The reversal of 5616723216384 is 4836123276165.

5616723216384 is a `hidden beast` number, since 5 + 6 + 16 + 7 + 232 + 16 + 384 = 666.

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

It is a super-3 number, since 3×5616723216384³ (a number of 39 digits) contains 333 as substring.

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 5616723216384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452480962 + ... + 452493374.

It is an arithmetic number, because the mean of its divisors is an integer number (33805494450).

Almost surely, 2^{5616723216384} is an apocalyptic number.

5616723216384 is a gapful number since it is divisible by the number (54) 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 5616723216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735982401600).

5616723216384 is an abundant number, since it is smaller than the sum of its proper divisors (13855241586816).

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

5616723216384 is a wasteful number, since it uses less digits than its factorization.

5616723216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12625 (or 12592 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 5616723216384 in words is "five trillion, six hundred sixteen billion, seven hundred twenty-three million, two hundred sixteen thousand, three hundred eighty-four".