10844451072 has 540 divisors, whose sum is σ = 40558415436. Its totient is φ = 2856591360.

The previous prime is 10844451053. The next prime is 10844451089. The reversal of 10844451072 is 27015444801.

It is a happy number.

10844451072 is a `hidden beast` number, since 108 + 4 + 445 + 107 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2244485376 + 8599965696 = 47376^2 + 92736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208422 + ... + 13209242.

Almost surely, 2^10844451072 is an apocalyptic number.

10844451072 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 10844451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279207718).

10844451072 is an abundant number, since it is smaller than the sum of its proper divisors (29713964364).

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

10844451072 is an equidigital number, since it uses as much as digits as its factorization.

10844451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 10844451072 its reverse (27015444801), we get a palindrome (37859895873).

The spelling of 10844451072 in words is "ten billion, eight hundred forty-four million, four hundred fifty-one thousand, seventy-two".