20101048320444 has 192 divisors, whose sum is σ = 60315546310656. Its totient is φ = 5064177355776.

The previous prime is 20101048320407. The next prime is 20101048320449. The reversal of 20101048320444 is 44402384010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101048320449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18484194 + ... + 19541430.

It is an arithmetic number, because the mean of its divisors is an integer number (314143470368).

Almost surely, 2^{20101048320444} 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 20101048320444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30157773155328).

20101048320444 is an abundant number, since it is smaller than the sum of its proper divisors (40214497990212).

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

20101048320444 is a wasteful number, since it uses less digits than its factorization.

20101048320444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058044 (or 1058042 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 20101048320444 in words is "twenty trillion, one hundred one billion, forty-eight million, three hundred twenty thousand, four hundred forty-four".