1000933530168 has 128 divisors (see below), whose sum is σ = 2941198202880. Its totient is φ = 279848701440.

The previous prime is 1000933530161. The next prime is 1000933530169. The reversal of 1000933530168 is 8610353390001.

It is a super-2 number, since 2×1000933530168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000933530161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7286730 + ... + 7422822.

It is an arithmetic number, because the mean of its divisors is an integer number (22978110960).

Almost surely, 2^{1000933530168} 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 1000933530168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470599101440).

1000933530168 is an abundant number, since it is smaller than the sum of its proper divisors (1940264672712).

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

1000933530168 is a wasteful number, since it uses less digits than its factorization.

1000933530168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138269 (or 138265 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 1000933530168 in words is "one trillion, nine hundred thirty-three million, five hundred thirty thousand, one hundred sixty-eight".