64365844856346 has 48 divisors (see below), whose sum is σ = 152156793847968. Its totient is φ = 19502321680800.

The previous prime is 64365844856281. The next prime is 64365844856363.

It is a happy number.

64365844856346 is a `hidden beast` number, since 6 + 4 + 3 + 6 + 5 + 84 + 485 + 63 + 4 + 6 = 666.

64365844856346 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19103325 + ... + 22218656.

It is an arithmetic number, because the mean of its divisors is an integer number (3169933205166).

Almost surely, 2^{64365844856346} is an apocalyptic number.

64365844856346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64365844856346 is an abundant number, since it is smaller than the sum of its proper divisors (87790948991622).

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

64365844856346 is a wasteful number, since it uses less digits than its factorization.

64365844856346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41329867 (or 41329864 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 64365844856346 in words is "sixty-four trillion, three hundred sixty-five billion, eight hundred forty-four million, eight hundred fifty-six thousand, three hundred forty-six".