10144340316864 has 1568 divisors, whose sum is σ = 36947668121280. Its totient is φ = 2727803879424.

The previous prime is 10144340316841. The next prime is 10144340316899. The reversal of 10144340316864 is 46861304344101.

10144340316864 is a `hidden beast` number, since 1 + 0 + 1 + 443 + 40 + 3 + 168 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10383152344 + ... + 10383153320.

Almost surely, 2^{10144340316864} 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 10144340316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473834060640).

10144340316864 is an abundant number, since it is smaller than the sum of its proper divisors (26803327804416).

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

10144340316864 is a wasteful number, since it uses less digits than its factorization.

10144340316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 10144340316864 in words is "ten trillion, one hundred forty-four billion, three hundred forty million, three hundred sixteen thousand, eight hundred sixty-four".