4133685465 has 96 divisors (see below), whose sum is σ = 9202152960. Its totient is φ = 1668446208.

The previous prime is 4133685449. The next prime is 4133685469. The reversal of 4133685465 is 5645863314.

4133685465 is a `hidden beast` number, since 41 + 3 + 3 + 68 + 546 + 5 = 666.

4133685465 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4133685465 - 2⁴ = 4133685449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4133685465.

It is not an unprimeable number, because it can be changed into a prime (4133685469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72241 + ... + 116129.

It is an arithmetic number, because the mean of its divisors is an integer number (95855760).

Almost surely, 2^4133685465 is an apocalyptic number.

4133685465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4133685465 is an abundant number, since it is smaller than the sum of its proper divisors (5068467495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4133685465 is a wasteful number, since it uses less digits than its factorization.

4133685465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43943 (or 43940 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 4133685465 is about 64293.7435914258. The cubic root of 4133685465 is about 1604.8919891212.

The spelling of 4133685465 in words is "four billion, one hundred thirty-three million, six hundred eighty-five thousand, four hundred sixty-five".