10444306286736 has 640 divisors, whose sum is σ = 35183668101120. Its totient is φ = 2905196544000.

The previous prime is 10444306286717. The next prime is 10444306286741. The reversal of 10444306286736 is 63768260344401.

10444306286736 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 3 + 0 + 628 + 6 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×10444306286736² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4947562321 + ... + 4947564431.

It is an arithmetic number, because the mean of its divisors is an integer number (54974481408).

Almost surely, 2^{10444306286736} is an apocalyptic number.

10444306286736 is a gapful number since it is divisible by the number (16) 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 10444306286736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591834050560).

10444306286736 is an abundant number, since it is smaller than the sum of its proper divisors (24739361814384).

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

10444306286736 is a wasteful number, since it uses less digits than its factorization.

10444306286736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 10444306286736 in words is "ten trillion, four hundred forty-four billion, three hundred six million, two hundred eighty-six thousand, seven hundred thirty-six".