6513416614656 has 432 divisors, whose sum is σ = 22670261053440. Its totient is φ = 1759056445440.

The previous prime is 6513416614609. The next prime is 6513416614657. The reversal of 6513416614656 is 6564166143156.

6513416614656 is a `hidden beast` number, since 6 + 5 + 1 + 3 + 4 + 16 + 614 + 6 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6513416614657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21347140 + ... + 21650108.

Almost surely, 2^{6513416614656} 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 6513416614656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335130526720).

6513416614656 is an abundant number, since it is smaller than the sum of its proper divisors (16156844438784).

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

6513416614656 is a wasteful number, since it uses less digits than its factorization.

6513416614656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303072 (or 303055 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 6513416614656 in words is "six trillion, five hundred thirteen billion, four hundred sixteen million, six hundred fourteen thousand, six hundred fifty-six".