164491656431616 has 576 divisors, whose sum is σ = 516536564544000. Its totient is φ = 50238105845760.

The previous prime is 164491656431579. The next prime is 164491656431639. The reversal of 164491656431616 is 616134656194461.

164491656431616 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 9 + 1 + 6 + 5 + 6 + 4 + 3 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22679116246 + ... + 22679123498.

It is an arithmetic number, because the mean of its divisors is an integer number (896764869000).

Almost surely, 2^{164491656431616} is an apocalyptic number.

164491656431616 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 164491656431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258268282272000).

164491656431616 is an abundant number, since it is smaller than the sum of its proper divisors (352044908112384).

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

164491656431616 is a wasteful number, since it uses less digits than its factorization.

164491656431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420 (or 9397 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 164491656431616 in words is "one hundred sixty-four trillion, four hundred ninety-one billion, six hundred fifty-six million, four hundred thirty-one thousand, six hundred sixteen".