56467355376465 has 96 divisors (see below), whose sum is σ = 108138892492800. Its totient is φ = 27028383557760.

The previous prime is 56467355376463. The next prime is 56467355376469.

It is a happy number.

56467355376465 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 7 + 3 + 553 + 7 + 6 + 4 + 65 = 666.

56467355376465 is nontrivially palindromic in base 10.

56467355376465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56467355376465 - 2¹ = 56467355376463 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56467355376393 and 56467355376402.

It is not an unprimeable number, because it can be changed into a prime (56467355376463) 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 95 ways as a sum of consecutive naturals, for example, 352138576 + ... + 352298894.

It is an arithmetic number, because the mean of its divisors is an integer number (1126446796800).

Almost surely, 2^{56467355376465} is an apocalyptic number.

56467355376465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56467355376465 is a deficient number, since it is larger than the sum of its proper divisors (51671537116335).

56467355376465 is a wasteful number, since it uses less digits than its factorization.

56467355376465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169427 (or 169424 counting only the distinct ones).

The product of its digits is 5715360000, while the sum is 72.

The spelling of 56467355376465 in words is "fifty-six trillion, four hundred sixty-seven billion, three hundred fifty-five million, three hundred seventy-six thousand, four hundred sixty-five".