16835940225 has 72 divisors (see below), whose sum is σ = 34385033592. Its totient is φ = 7800883200.

The previous prime is 16835940217. The next prime is 16835940239. The reversal of 16835940225 is 52204953861.

It can be written as a sum of positive squares in 12 ways, for example, as 2844835569 + 13991104656 = 53337^2 + 118284^2 .

It is not a de Polignac number, because 16835940225 - 2³ = 16835940217 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119566 + ... + 219015.

It is an arithmetic number, because the mean of its divisors is an integer number (477569911).

Almost surely, 2^16835940225 is an apocalyptic number.

16835940225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16835940225 is an abundant number, since it is smaller than the sum of its proper divisors (17549093367).

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

16835940225 is a wasteful number, since it uses less digits than its factorization.

16835940225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338627 (or 338619 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 16835940225 in words is "sixteen billion, eight hundred thirty-five million, nine hundred forty thousand, two hundred twenty-five".