10744233984 has 400 divisors, whose sum is σ = 36540741600. Its totient is φ = 3114270720.

The previous prime is 10744233979. The next prime is 10744233989. The reversal of 10744233984 is 48933244701.

It is an interprime number because it is at equal distance from previous prime (10744233979) and next prime (10744233989).

It is not an unprimeable number, because it can be changed into a prime (10744233989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 467140597 + ... + 467140619.

It is an arithmetic number, because the mean of its divisors is an integer number (91351854).

Almost surely, 2^10744233984 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 10744233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270370800).

10744233984 is an abundant number, since it is smaller than the sum of its proper divisors (25796507616).

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

10744233984 is an frugal number, since it uses more digits than its factorization.

10744233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10744233984 in words is "ten billion, seven hundred forty-four million, two hundred thirty-three thousand, nine hundred eighty-four".