6543142413456 has 120 divisors (see below), whose sum is σ = 19220131707840. Its totient is φ = 1914398984960.

The previous prime is 6543142413371. The next prime is 6543142413461.

6543142413456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19255260 + ... + 19592123.

It is an arithmetic number, because the mean of its divisors is an integer number (160167764232).

Almost surely, 2^{6543142413456} is an apocalyptic number.

6543142413456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6543142413456 is an abundant number, since it is smaller than the sum of its proper divisors (12676989294384).

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

6543142413456 is a wasteful number, since it uses less digits than its factorization.

6543142413456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38847445 (or 38847428 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 6543142413456 in words is "six trillion, five hundred forty-three billion, one hundred forty-two million, four hundred thirteen thousand, four hundred fifty-six".