10221746744 has 96 divisors (see below), whose sum is σ = 21567047040. Its totient is φ = 4503340800.

The previous prime is 10221746741. The next prime is 10221746807. The reversal of 10221746744 is 44764712201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221746698 and 10221746707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221746741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33295439 + ... + 33295745.

It is an arithmetic number, because the mean of its divisors is an integer number (224656740).

Almost surely, 2^10221746744 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 10221746744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783523520).

10221746744 is an abundant number, since it is smaller than the sum of its proper divisors (11345300296).

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

10221746744 is a wasteful number, since it uses less digits than its factorization.

10221746744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 10221746744 in words is "ten billion, two hundred twenty-one million, seven hundred forty-six thousand, seven hundred forty-four".