5614463544480 has 768 divisors, whose sum is σ = 23800283136000. Its totient is φ = 1206731685888.

The previous prime is 5614463544401. The next prime is 5614463544511. The reversal of 5614463544480 is 844453644165.

5614463544480 is a `hidden beast` number, since 5 + 6 + 14 + 4 + 6 + 3 + 544 + 4 + 80 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 657504051 + ... + 657512589.

It is an arithmetic number, because the mean of its divisors is an integer number (30989952000).

Almost surely, 2^{5614463544480} 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 5614463544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900141568000).

5614463544480 is an abundant number, since it is smaller than the sum of its proper divisors (18185819591520).

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

5614463544480 is a wasteful number, since it uses less digits than its factorization.

5614463544480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 5614463544480 in words is "five trillion, six hundred fourteen billion, four hundred sixty-three million, five hundred forty-four thousand, four hundred eighty".