90900000000909 has 144 divisors (see below), whose sum is σ = 152141873869440. Its totient is φ = 52155224352000.

The previous prime is 90900000000893. The next prime is 90900000000919.

90900000000909 is nontrivially palindromic in base 10.

90900000000909 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 90900000000909 - 2⁴ = 90900000000893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90900000000919) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10354250082 + ... + 10354258860.

It is an arithmetic number, because the mean of its divisors is an integer number (1056540790760).

Almost surely, 2^{90900000000909} is an apocalyptic number.

90900000000909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90900000000909 is a deficient number, since it is larger than the sum of its proper divisors (61241873868531).

90900000000909 is a wasteful number, since it uses less digits than its factorization.

90900000000909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13024 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

It can be divided in two parts, 90900000000 and 909, that multiplied together give a square (82628100000000 = 9090000²).

The spelling of 90900000000909 in words is "ninety trillion, nine hundred billion, nine hundred nine", and thus it is an aban number.