1617161072032 has 96 divisors (see below), whose sum is σ = 3555404677440. Its totient is φ = 717693419520.

The previous prime is 1617161072029. The next prime is 1617161072069. The reversal of 1617161072032 is 2302701617161.

It is a junction number, because it is equal to n+sod(n) for n = 1617161071982 and 1617161072000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40680838 + ... + 40720570.

It is an arithmetic number, because the mean of its divisors is an integer number (37035465390).

Almost surely, 2^{1617161072032} 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 1617161072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777702338720).

1617161072032 is an abundant number, since it is smaller than the sum of its proper divisors (1938243605408).

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

1617161072032 is a wasteful number, since it uses less digits than its factorization.

1617161072032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42486 (or 42478 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

Adding to 1617161072032 its reverse (2302701617161), we get a palindrome (3919862689193).

The spelling of 1617161072032 in words is "one trillion, six hundred seventeen billion, one hundred sixty-one million, seventy-two thousand, thirty-two".