10444214113344 has 168 divisors, whose sum is σ = 33274138614912. Its totient is φ = 3105197921280.

The previous prime is 10444214113303. The next prime is 10444214113351. The reversal of 10444214113344 is 44331141244401.

10444214113344 is a `hidden beast` number, since 1 + 0 + 4 + 442 + 1 + 41 + 133 + 44 = 666.

10444214113344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10444214113299 and 10444214113308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15215064 + ... + 15886679.

Almost surely, 2^{10444214113344} is an apocalyptic number.

It is an amenable number.

10444214113344 is an abundant number, since it is smaller than the sum of its proper divisors (22829924501568).

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

10444214113344 is a wasteful number, since it uses less digits than its factorization.

10444214113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31101825 (or 31101812 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 10444214113344 its reverse (44331141244401), we get a palindrome (54775355357745).

The spelling of 10444214113344 in words is "ten trillion, four hundred forty-four billion, two hundred fourteen million, one hundred thirteen thousand, three hundred forty-four".