164595735616 has 189 divisors, whose sum is σ = 365768275701. Its totient is φ = 73455143424.

The previous prime is 164595735593. The next prime is 164595735641. The reversal of 164595735616 is 616537595461.

The square root of 164595735616 is 405704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24348481600 + 140247254016 = 156040^2 + 374496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1983081111 + ... + 1983081193.

Almost surely, 2^164595735616 is an apocalyptic number.

164595735616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164595735616 is the 405704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164595735616

164595735616 is an abundant number, since it is smaller than the sum of its proper divisors (201172540085).

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

164595735616 is an frugal number, since it uses more digits than its factorization.

164595735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 145 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 58.

The spelling of 164595735616 in words is "one hundred sixty-four billion, five hundred ninety-five million, seven hundred thirty-five thousand, six hundred sixteen".