1071002162916 has 144 divisors (see below), whose sum is σ = 3134091018240. Its totient is φ = 302038476480.

The previous prime is 1071002162873. The next prime is 1071002162921. The reversal of 1071002162916 is 6192612001701.

1071002162916 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 0 + 0 + 21 + 629 + 1 + 6 = 666.

It is a super-2 number, since 2×1071002162916² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98877621 + ... + 98888451.

It is an arithmetic number, because the mean of its divisors is an integer number (21764520960).

Almost surely, 2^{1071002162916} 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 1071002162916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567045509120).

1071002162916 is an abundant number, since it is smaller than the sum of its proper divisors (2063088855324).

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

1071002162916 is a wasteful number, since it uses less digits than its factorization.

1071002162916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15894 (or 15889 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1071002162916 in words is "one trillion, seventy-one billion, two million, one hundred sixty-two thousand, nine hundred sixteen".