10281714148608 has 864 divisors, whose sum is σ = 34436983521024. Its totient is φ = 2705366974464.

The previous prime is 10281714148553. The next prime is 10281714148627. The reversal of 10281714148608 is 80684141718201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6398078941 + ... + 6398080547.

It is an arithmetic number, because the mean of its divisors is an integer number (39857619816).

Almost surely, 2^{10281714148608} 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 10281714148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218491760512).

10281714148608 is an abundant number, since it is smaller than the sum of its proper divisors (24155269372416).

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

10281714148608 is a wasteful number, since it uses less digits than its factorization.

10281714148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The spelling of 10281714148608 in words is "ten trillion, two hundred eighty-one billion, seven hundred fourteen million, one hundred forty-eight thousand, six hundred eight".