8400945969 has 32 divisors (see below), whose sum is σ = 14108662400. Its totient is φ = 4897713600.

The previous prime is 8400945953. The next prime is 8400945989. The reversal of 8400945969 is 9695490048.

8400945969 is a `hidden beast` number, since 8 + 40 + 0 + 9 + 4 + 596 + 9 = 666.

It is not a de Polignac number, because 8400945969 - 2⁴ = 8400945953 is a prime.

It is a super-2 number, since 2×8400945969² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8400945929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623182 + ... + 636519.

It is an arithmetic number, because the mean of its divisors is an integer number (440895700).

Almost surely, 2^8400945969 is an apocalyptic number.

It is an amenable number.

8400945969 is a deficient number, since it is larger than the sum of its proper divisors (5707716431).

8400945969 is a wasteful number, since it uses less digits than its factorization.

8400945969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259742 (or 1259736 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 8400945969 is about 91656.6744378171. The cubic root of 8400945969 is about 2032.8690186579.

The spelling of 8400945969 in words is "eight billion, four hundred million, nine hundred forty-five thousand, nine hundred sixty-nine".