5564985214464 has 960 divisors, whose sum is σ = 18767548800000. Its totient is φ = 1573000445952.

The previous prime is 5564985214457. The next prime is 5564985214541. The reversal of 5564985214464 is 4644125894655.

5564985214464 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 9 + 8 + 521 + 44 + 64 = 666.

It is a super-3 number, since 3×5564985214464³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5305037812 + ... + 5305038860.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530000).

Almost surely, 2^{5564985214464} 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 5564985214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383774400000).

5564985214464 is an abundant number, since it is smaller than the sum of its proper divisors (13202563585536).

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

5564985214464 is a wasteful number, since it uses less digits than its factorization.

5564985214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1224 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 63.

The spelling of 5564985214464 in words is "five trillion, five hundred sixty-four billion, nine hundred eighty-five million, two hundred fourteen thousand, four hundred sixty-four".