56466422466465 has 64 divisors (see below), whose sum is σ = 101965182566400. Its totient is φ = 26431786617600.

The previous prime is 56466422466451. The next prime is 56466422466469.

It is a happy number.

56466422466465 is nontrivially palindromic in base 10.

56466422466465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-56466422466465 is a prime.

It is a super-2 number, since 2×56466422466465² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56466422466396 and 56466422466405.

It is not an unprimeable number, because it can be changed into a prime (56466422466469) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 70568496 + ... + 71364174.

It is an arithmetic number, because the mean of its divisors is an integer number (1593205977600).

Almost surely, 2^{56466422466465} is an apocalyptic number.

56466422466465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56466422466465 is a deficient number, since it is larger than the sum of its proper divisors (45498760099935).

56466422466465 is a wasteful number, since it uses less digits than its factorization.

56466422466465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810558.

The product of its digits is 1194393600, while the sum is 66.

The spelling of 56466422466465 in words is "fifty-six trillion, four hundred sixty-six billion, four hundred twenty-two million, four hundred sixty-six thousand, four hundred sixty-five".