56674355347665 has 288 divisors, whose sum is σ = 113168125624320. Its totient is φ = 25989837120000.

The previous prime is 56674355347601. The next prime is 56674355347721.

It is a happy number.

56674355347665 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 4 + 3 + 553 + 4 + 7 + 6 + 65 = 666.

56674355347665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56674355347665 - 2⁶ = 56674355347601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56674355347593 and 56674355347602.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12366210964 + ... + 12366215546.

It is an arithmetic number, because the mean of its divisors is an integer number (392944880640).

Almost surely, 2^{56674355347665} is an apocalyptic number.

56674355347665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56674355347665 is a deficient number, since it is larger than the sum of its proper divisors (56493770276655).

56674355347665 is a wasteful number, since it uses less digits than its factorization.

56674355347665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4813 counting only the distinct ones).

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

The spelling of 56674355347665 in words is "fifty-six trillion, six hundred seventy-four billion, three hundred fifty-five million, three hundred forty-seven thousand, six hundred sixty-five".