10682661444 has 192 divisors, whose sum is σ = 32177994240. Its totient is φ = 2682408960.

The previous prime is 10682661401. The next prime is 10682661551. The reversal of 10682661444 is 44416628601.

It is a happy number.

It is a super-2 number, since 2×10682661444² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10682661396 and 10682661405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2309454 + ... + 2314074.

It is an arithmetic number, because the mean of its divisors is an integer number (167593720).

Almost surely, 2^10682661444 is an apocalyptic number.

10682661444 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 10682661444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088997120).

10682661444 is an abundant number, since it is smaller than the sum of its proper divisors (21495332796).

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

10682661444 is a wasteful number, since it uses less digits than its factorization.

10682661444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 10682661444 in words is "ten billion, six hundred eighty-two million, six hundred sixty-one thousand, four hundred forty-four".