1716166944 has 288 divisors, whose sum is σ = 5417717760. Its totient is φ = 513216000.

The previous prime is 1716166939. The next prime is 1716166973. The reversal of 1716166944 is 4496616171.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1716166944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11365269 + ... + 11365419.

It is an arithmetic number, because the mean of its divisors is an integer number (18811520).

Almost surely, 2^1716166944 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 1716166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708858880).

1716166944 is an abundant number, since it is smaller than the sum of its proper divisors (3701550816).

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

1716166944 is a wasteful number, since it uses less digits than its factorization.

1716166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1716166944 is about 41426.6453384775. The cubic root of 1716166944 is about 1197.2545903951.

The spelling of 1716166944 in words is "one billion, seven hundred sixteen million, one hundred sixty-six thousand, nine hundred forty-four".