8400216465 has 12 divisors (see below), whose sum is σ = 14560375284. Its totient is φ = 4480115424.

The previous prime is 8400216463. The next prime is 8400216541. The reversal of 8400216465 is 5646120048.

8400216465 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 2 + 1 + 646 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3998159361 + 4402057104 = 63231^2 + 66348^2 .

It is not a de Polignac number, because 8400216465 - 2¹ = 8400216463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8400216463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93335694 + ... + 93335783.

It is an arithmetic number, because the mean of its divisors is an integer number (1213364607).

Almost surely, 2^8400216465 is an apocalyptic number.

It is an amenable number.

8400216465 is a deficient number, since it is larger than the sum of its proper divisors (6160158819).

8400216465 is a wasteful number, since it uses less digits than its factorization.

8400216465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186671488 (or 186671485 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8400216465 is about 91652.6948048992. The cubic root of 8400216465 is about 2032.8101749271.

The spelling of 8400216465 in words is "eight billion, four hundred million, two hundred sixteen thousand, four hundred sixty-five".