1617042456068 has 48 divisors (see below), whose sum is σ = 3237794634480. Its totient is φ = 701116383744.

The previous prime is 1617042456049. The next prime is 1617042456083. The reversal of 1617042456068 is 8606542407161.

It can be written as a sum of positive squares in 8 ways, for example, as 30118144 + 1617012337924 = 5488^2 + 1271618^2 .

It is a super-2 number, since 2×1617042456068² (a number of 25 digits) contains 22 as substring.

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, 14434871 + ... + 14546462.

It is an arithmetic number, because the mean of its divisors is an integer number (67454054885).

Almost surely, 2^{1617042456068} is an apocalyptic number.

It is an amenable number.

1617042456068 is an abundant number, since it is smaller than the sum of its proper divisors (1620752178412).

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

1617042456068 is a wasteful number, since it uses less digits than its factorization.

1617042456068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28981416 (or 28981414 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 1617042456068 in words is "one trillion, six hundred seventeen billion, forty-two million, four hundred fifty-six thousand, sixty-eight".