10144544996112 has 320 divisors, whose sum is σ = 29629737861120. Its totient is φ = 2975407852032.

The previous prime is 10144544996107. The next prime is 10144544996171. The reversal of 10144544996112 is 21169944544101.

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, 125165233 + ... + 125246255.

It is an arithmetic number, because the mean of its divisors is an integer number (92592930816).

Almost surely, 2^{10144544996112} is an apocalyptic number.

10144544996112 is a gapful number since it is divisible by the number (12) 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 10144544996112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814868930560).

10144544996112 is an abundant number, since it is smaller than the sum of its proper divisors (19485192865008).

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

10144544996112 is a wasteful number, since it uses less digits than its factorization.

10144544996112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81250 (or 81244 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 10144544996112 in words is "ten trillion, one hundred forty-four billion, five hundred forty-four million, nine hundred ninety-six thousand, one hundred twelve".