10285483290144 has 192 divisors, whose sum is σ = 28739045462400. Its totient is φ = 3209740369920.

The previous prime is 10285483290133. The next prime is 10285483290149. The reversal of 10285483290144 is 44109238458201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (10285483290149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706947382 + ... + 706961930.

It is an arithmetic number, because the mean of its divisors is an integer number (149682528450).

Almost surely, 2^{10285483290144} 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 10285483290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369522731200).

10285483290144 is an abundant number, since it is smaller than the sum of its proper divisors (18453562172256).

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

10285483290144 is a wasteful number, since it uses less digits than its factorization.

10285483290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16843 (or 16835 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 10285483290144 in words is "ten trillion, two hundred eighty-five billion, four hundred eighty-three million, two hundred ninety thousand, one hundred forty-four".