65645677654656 has 64 divisors (see below), whose sum is σ = 190223270488800. Its totient is φ = 19892629591040.

The previous prime is 65645677654639. The next prime is 65645677654657.

It is a happy number.

65645677654656 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (65645677654657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7770554211 + ... + 7770562658.

Almost surely, 2^{65645677654656} is an apocalyptic number.

65645677654656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

65645677654656 is an abundant number, since it is smaller than the sum of its proper divisors (124577592834144).

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

65645677654656 is a wasteful number, since it uses less digits than its factorization.

65645677654656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541116897 (or 15541116885 counting only the distinct ones).

The product of its digits is 22861440000, while the sum is 78.

The spelling of 65645677654656 in words is "sixty-five trillion, six hundred forty-five billion, six hundred seventy-seven million, six hundred fifty-four thousand, six hundred fifty-six".