6545962695456 has 144 divisors (see below), whose sum is σ = 19562802202944. Its totient is φ = 2073642342912.

The previous prime is 6545962695449. The next prime is 6545962695487.

6545962695456 is a `hidden beast` number, since 6 + 5 + 4 + 59 + 6 + 26 + 9 + 545 + 6 = 666.

6545962695456 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6545962695456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6684796 + ... + 7601211.

It is an arithmetic number, because the mean of its divisors is an integer number (135852793076).

Almost surely, 2^{6545962695456} is an apocalyptic number.

It is an amenable number.

6545962695456 is an abundant number, since it is smaller than the sum of its proper divisors (13016839507488).

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

6545962695456 is a wasteful number, since it uses less digits than its factorization.

6545962695456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14286103 (or 14286092 counting only the distinct ones).

The product of its digits is 2099520000, while the sum is 72.

The spelling of 6545962695456 in words is "six trillion, five hundred forty-five billion, nine hundred sixty-two million, six hundred ninety-five thousand, four hundred fifty-six".