8005506465 has 64 divisors (see below), whose sum is σ = 14821926912. Its totient is φ = 3646540800.

The previous prime is 8005506461. The next prime is 8005506473. The reversal of 8005506465 is 5646055008.

It is not a de Polignac number, because 8005506465 - 2² = 8005506461 is a prime.

It is a super-2 number, since 2×8005506465² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8005506461) 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 63 ways as a sum of consecutive naturals, for example, 1767694 + ... + 1772216.

It is an arithmetic number, because the mean of its divisors is an integer number (231592608).

Almost surely, 2^8005506465 is an apocalyptic number.

8005506465 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8005506465 is a deficient number, since it is larger than the sum of its proper divisors (6816420447).

8005506465 is a wasteful number, since it uses less digits than its factorization.

8005506465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190.

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 8005506465 is about 89473.4958800650. The cubic root of 8005506465 is about 2000.4587668418.

The spelling of 8005506465 in words is "eight billion, five million, five hundred six thousand, four hundred sixty-five".