6541116408 has 48 divisors (see below), whose sum is σ = 17739511920. Its totient is φ = 2177419776.

The previous prime is 6541116397. The next prime is 6541116433. The reversal of 6541116408 is 8046111456.

6541116408 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 1 + 1 + 640 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7641 + ... + 114632.

It is an arithmetic number, because the mean of its divisors is an integer number (369573165).

Almost surely, 2^6541116408 is an apocalyptic number.

It is an amenable number.

6541116408 is an abundant number, since it is smaller than the sum of its proper divisors (11198395512).

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

6541116408 is a wasteful number, since it uses less digits than its factorization.

6541116408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123028 (or 123021 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6541116408 is about 80877.1686448036. The cubic root of 6541116408 is about 1870.1823730929.

The spelling of 6541116408 in words is "six billion, five hundred forty-one million, one hundred sixteen thousand, four hundred eight".