10044906855648 has 768 divisors, whose sum is σ = 33306461798400. Its totient is φ = 2586280181760.

The previous prime is 10044906855611. The next prime is 10044906855661. The reversal of 10044906855648 is 84655860944001.

It is a junction number, because it is equal to n+sod(n) for n = 10044906855591 and 10044906855600.

It is a congruent number.

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, 14707037515 + ... + 14707038197.

It is an arithmetic number, because the mean of its divisors is an integer number (43367788800).

Almost surely, 2^{10044906855648} 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 10044906855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653230899200).

10044906855648 is an abundant number, since it is smaller than the sum of its proper divisors (23261554942752).

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

10044906855648 is a wasteful number, since it uses less digits than its factorization.

10044906855648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 10044906855648 in words is "ten trillion, forty-four billion, nine hundred six million, eight hundred fifty-five thousand, six hundred forty-eight".