10844405264 has 240 divisors, whose sum is σ = 28279689984. Its totient is φ = 3929333760.

The previous prime is 10844405251. The next prime is 10844405267. The reversal of 10844405264 is 46250444801.

It is a super-2 number, since 2×10844405264² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10844405267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23729324 + ... + 23729780.

Almost surely, 2^10844405264 is an apocalyptic number.

10844405264 is a gapful number since it is divisible by the number (14) 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 10844405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139844992).

10844405264 is an abundant number, since it is smaller than the sum of its proper divisors (17435284720).

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

10844405264 is a wasteful number, since it uses less digits than its factorization.

10844405264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 10844405264 in words is "ten billion, eight hundred forty-four million, four hundred five thousand, two hundred sixty-four".