10844062272 has 140 divisors (see below), whose sum is σ = 34036368300. Its totient is φ = 3402031104.

The previous prime is 10844062267. The next prime is 10844062277. The reversal of 10844062272 is 27226044801.

It is an interprime number because it is at equal distance from previous prime (10844062267) and next prime (10844062277).

It can be written as a sum of positive squares in 2 ways, for example, as 7072137216 + 3771925056 = 84096^2 + 61416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10844062277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26604 + ... + 149652.

Almost surely, 2^10844062272 is an apocalyptic number.

10844062272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10844062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018184150).

10844062272 is an abundant number, since it is smaller than the sum of its proper divisors (23192306028).

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

10844062272 is a wasteful number, since it uses less digits than its factorization.

10844062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123090 (or 123071 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10844062272 in words is "ten billion, eight hundred forty-four million, sixty-two thousand, two hundred seventy-two".