909250000000 has 160 divisors (see below), whose sum is σ = 2264867932140. Its totient is φ = 363600000000.

The previous prime is 909249999979. The next prime is 909250000019. The reversal of 909250000000 is 52909.

It can be written as a sum of positive squares in 10 ways, for example, as 308451387456 + 600798612544 = 555384^2 + 775112^2 .

It is a sliding number, since 909250000000 = 128000000000 + 781250000000 and 1/128000000000 + 1/781250000000 = 0.00000000000909250000000.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 909250000000.

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 19 ways as a sum of consecutive naturals, for example, 249998182 + ... + 250001818.

Almost surely, 2^909250000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 909250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132433966070).

909250000000 is an abundant number, since it is smaller than the sum of its proper divisors (1355617932140).

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

909250000000 is an frugal number, since it uses more digits than its factorization.

909250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

Adding to 909250000000 its reverse (52909), we get a palindrome (909250052909).

The spelling of 909250000000 in words is "nine hundred nine billion, two hundred fifty million", and thus it is an aban number.