900409849911 has 48 divisors (see below), whose sum is σ = 1528302196512. Its totient is φ = 503615692800.

The previous prime is 900409849903. The next prime is 900409849931. The reversal of 900409849911 is 119948904009.

It is not a de Polignac number, because 900409849911 - 2³ = 900409849903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900409849931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001831 + ... + 6150023.

It is an arithmetic number, because the mean of its divisors is an integer number (31839629094).

Almost surely, 2^900409849911 is an apocalyptic number.

900409849911 is a deficient number, since it is larger than the sum of its proper divisors (627892346601).

900409849911 is a wasteful number, since it uses less digits than its factorization.

900409849911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152944 (or 152941 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 900409849911 in words is "nine hundred billion, four hundred nine million, eight hundred forty-nine thousand, nine hundred eleven".