901144435365 has 12 divisors (see below), whose sum is σ = 1561983688044. Its totient is φ = 480610365504.

The previous prime is 901144435339. The next prime is 901144435439. The reversal of 901144435365 is 563534441109.

901144435365 is a `hidden beast` number, since 90 + 1 + 14 + 443 + 53 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 539316921924 + 361827513441 = 734382^2 + 601521^2 .

It is not a de Polignac number, because 901144435365 - 2¹⁸ = 901144173221 is a prime.

It is a super-2 number, since 2×901144435365² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 20025431897 = 901144435365 / (9 + 0 + 1 + 1 + 4 + 4 + 4 + 3 + 5 + 3 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 901144435365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10012715904 + ... + 10012715993.

It is an arithmetic number, because the mean of its divisors is an integer number (130165307337).

Almost surely, 2^901144435365 is an apocalyptic number.

It is an amenable number.

901144435365 is a deficient number, since it is larger than the sum of its proper divisors (660839252679).

901144435365 is a wasteful number, since it uses less digits than its factorization.

901144435365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20025431908 (or 20025431905 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 901144435365 in words is "nine hundred one billion, one hundred forty-four million, four hundred thirty-five thousand, three hundred sixty-five".