10723442023224 has 384 divisors, whose sum is σ = 34090580160000. Its totient is φ = 3043840536576.

The previous prime is 10723442023223. The next prime is 10723442023249. The reversal of 10723442023224 is 42232024432701.

10723442023224 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 3 + 4 + 420 + 2 + 3 + 224 = 666.

It is a super-2 number, since 2×10723442023224² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10723442023223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6000806059 + ... + 6000807845.

It is an arithmetic number, because the mean of its divisors is an integer number (88777552500).

Almost surely, 2^{10723442023224} is an apocalyptic number.

10723442023224 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 10723442023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17045290080000).

10723442023224 is an abundant number, since it is smaller than the sum of its proper divisors (23367138136776).

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

10723442023224 is a wasteful number, since it uses less digits than its factorization.

10723442023224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 10723442023224 its reverse (42232024432701), we get a palindrome (52955466455925).

The spelling of 10723442023224 in words is "ten trillion, seven hundred twenty-three billion, four hundred forty-two million, twenty-three thousand, two hundred twenty-four".