1017161347972 has 288 divisors, whose sum is σ = 2387143584000. Its totient is φ = 370158750720.

The previous prime is 1017161347903. The next prime is 1017161348003. The reversal of 1017161347972 is 2797431617101.

1017161347972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1659316738 + ... + 1659317350.

It is an arithmetic number, because the mean of its divisors is an integer number (8288693000).

Almost surely, 2^{1017161347972} 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 1017161347972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193571792000).

1017161347972 is an abundant number, since it is smaller than the sum of its proper divisors (1369982236028).

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

1017161347972 is a wasteful number, since it uses less digits than its factorization.

1017161347972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 49.

The spelling of 1017161347972 in words is "one trillion, seventeen billion, one hundred sixty-one million, three hundred forty-seven thousand, nine hundred seventy-two".