6541514414160 has 80 divisors (see below), whose sum is σ = 22122212391360. Its totient is φ = 1585821675520.

The previous prime is 6541514414101. The next prime is 6541514414189. The reversal of 6541514414160 is 614144151456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238920545 + ... + 1238925824.

It is an arithmetic number, because the mean of its divisors is an integer number (276527654892).

Almost surely, 2^{6541514414160} is an apocalyptic number.

6541514414160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6541514414160 is an abundant number, since it is smaller than the sum of its proper divisors (15580697977200).

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

6541514414160 is a wasteful number, since it uses less digits than its factorization.

6541514414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477846396 (or 2477846390 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 6541514414160 in words is "six trillion, five hundred forty-one billion, five hundred fourteen million, four hundred fourteen thousand, one hundred sixty".