161116682016 has 96 divisors (see below), whose sum is σ = 427392504000. Its totient is φ = 53141437440.

The previous prime is 161116681997. The next prime is 161116682021. The reversal of 161116682016 is 610286611161.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4370670 + ... + 4407378.

It is an arithmetic number, because the mean of its divisors is an integer number (4452005250).

Almost surely, 2^161116682016 is an apocalyptic number.

161116682016 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 161116682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213696252000).

161116682016 is an abundant number, since it is smaller than the sum of its proper divisors (266275821984).

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

161116682016 is a wasteful number, since it uses less digits than its factorization.

161116682016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37202 (or 37194 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 161116682016 in words is "one hundred sixty-one billion, one hundred sixteen million, six hundred eighty-two thousand, sixteen".