161596566814416 has 320 divisors, whose sum is σ = 461623612412160. Its totient is φ = 48501019607040.

The previous prime is 161596566814289. The next prime is 161596566814421. The reversal of 161596566814416 is 614418665695161.

It is a super-2 number, since 2×161596566814416² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430924150 + ... + 431298986.

It is an arithmetic number, because the mean of its divisors is an integer number (1442573788788).

Almost surely, 2^{161596566814416} is an apocalyptic number.

161596566814416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161596566814416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230811806206080).

161596566814416 is an abundant number, since it is smaller than the sum of its proper divisors (300027045597744).

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

161596566814416 is a wasteful number, since it uses less digits than its factorization.

161596566814416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375142 (or 375136 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 69.

The spelling of 161596566814416 in words is "one hundred sixty-one trillion, five hundred ninety-six billion, five hundred sixty-six million, eight hundred fourteen thousand, four hundred sixteen".