1001038563168 has 192 divisors, whose sum is σ = 3071725171200. Its totient is φ = 285327705600.

The previous prime is 1001038563163. The next prime is 1001038563179. The reversal of 1001038563168 is 8613658301001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001038563163) 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, 13826583 + ... + 13898793.

It is an arithmetic number, because the mean of its divisors is an integer number (15998568600).

Almost surely, 2^{1001038563168} 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 1001038563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535862585600).

1001038563168 is an abundant number, since it is smaller than the sum of its proper divisors (2070686608032).

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

1001038563168 is an equidigital number, since it uses as much as digits as its factorization.

1001038563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72666 (or 72644 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1001038563168 in words is "one trillion, one billion, thirty-eight million, five hundred sixty-three thousand, one hundred sixty-eight".