6511644361152 has 672 divisors, whose sum is σ = 23322431831040. Its totient is φ = 1773008455680.

The previous prime is 6511644361139. The next prime is 6511644361181. The reversal of 6511644361152 is 2511634461156.

6511644361152 is a `hidden beast` number, since 6 + 5 + 1 + 1 + 64 + 436 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6511644361152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6511644361098 and 6511644361107.

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, 539439277 + ... + 539451347.

Almost surely, 2^{6511644361152} 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 6511644361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11661215915520).

6511644361152 is an abundant number, since it is smaller than the sum of its proper divisors (16810787469888).

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

6511644361152 is a wasteful number, since it uses less digits than its factorization.

6511644361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406 (or 12383 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 6511644361152 in words is "six trillion, five hundred eleven billion, six hundred forty-four million, three hundred sixty-one thousand, one hundred fifty-two".