10017162144 has 432 divisors, whose sum is σ = 34123779144. Its totient is φ = 2773647360.

The previous prime is 10017162079. The next prime is 10017162163. The reversal of 10017162144 is 44126171001.

It can be written as a sum of positive squares in 4 ways, for example, as 9670755600 + 346406544 = 98340^2 + 18612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21919164 + ... + 21919620.

Almost surely, 2^10017162144 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 10017162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061889572).

10017162144 is an abundant number, since it is smaller than the sum of its proper divisors (24106617000).

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

10017162144 is a wasteful number, since it uses less digits than its factorization.

10017162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10017162144 in words is "ten billion, seventeen million, one hundred sixty-two thousand, one hundred forty-four".