6561214707456 has 288 divisors, whose sum is σ = 20446768419840. Its totient is φ = 2071263744000.

The previous prime is 6561214707449. The next prime is 6561214707577. The reversal of 6561214707456 is 6547074121656.

6561214707456 is a `hidden beast` number, since 6 + 5 + 6 + 121 + 470 + 7 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15852261 + ... + 16260891.

It is an arithmetic number, because the mean of its divisors is an integer number (70995723680).

Almost surely, 2^{6561214707456} 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 6561214707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223384209920).

6561214707456 is an abundant number, since it is smaller than the sum of its proper divisors (13885553712384).

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

6561214707456 is a wasteful number, since it uses less digits than its factorization.

6561214707456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408780 (or 408760 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 6561214707456 in words is "six trillion, five hundred sixty-one billion, two hundred fourteen million, seven hundred seven thousand, four hundred fifty-six".