5645820911616 has 1008 divisors, whose sum is σ = 18526699035936. Its totient is φ = 1713047076864.

The previous prime is 5645820911609. The next prime is 5645820911617. The reversal of 5645820911616 is 6161190285465.

It is a happy number.

5645820911616 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 8 + 2 + 0 + 9 + 11 + 616 = 666.

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 (5645820911617) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33807310765 + ... + 33807310931.

It is an arithmetic number, because the mean of its divisors is an integer number (18379661742).

Almost surely, 2^{5645820911616} 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 5645820911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263349517968).

5645820911616 is an abundant number, since it is smaller than the sum of its proper divisors (12880878124320).

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

5645820911616 is an frugal number, since it uses more digits than its factorization.

5645820911616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5645820911616 in words is "five trillion, six hundred forty-five billion, eight hundred twenty million, nine hundred eleven thousand, six hundred sixteen".