6411459456 has 192 divisors, whose sum is σ = 19046664000. Its totient is φ = 2068623360.

The previous prime is 6411459443. The next prime is 6411459511. The reversal of 6411459456 is 6549541146.

6411459456 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 4 + 594 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6411459456² = 82213624711863631872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14875561 + ... + 14875991.

It is an arithmetic number, because the mean of its divisors is an integer number (99201375).

Almost surely, 2^6411459456 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 6411459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523332000).

6411459456 is an abundant number, since it is smaller than the sum of its proper divisors (12635204544).

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

6411459456 is a wasteful number, since it uses less digits than its factorization.

6411459456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 822 counting only the distinct ones).

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

The square root of 6411459456 is about 80071.5895683357. The cubic root of 6411459456 is about 1857.7429994498.

The spelling of 6411459456 in words is "six billion, four hundred eleven million, four hundred fifty-nine thousand, four hundred fifty-six".