5614359820608 has 448 divisors, whose sum is σ = 19774795087872. Its totient is φ = 1362429573120.

The previous prime is 5614359820583. The next prime is 5614359820613. The reversal of 5614359820608 is 8060289534165.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 14429385 + ... + 14813367.

Almost surely, 2^{5614359820608} 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 5614359820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887397543936).

5614359820608 is an abundant number, since it is smaller than the sum of its proper divisors (14160435267264).

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

5614359820608 is a wasteful number, since it uses less digits than its factorization.

5614359820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384082 (or 384072 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 5614359820608 in words is "five trillion, six hundred fourteen billion, three hundred fifty-nine million, eight hundred twenty thousand, six hundred eight".