166499905936 has 405 divisors, whose sum is σ = 436253115681. Its totient is φ = 61343702784.

The previous prime is 166499905933. The next prime is 166499905937. The reversal of 166499905936 is 639509994661.

The square root of 166499905936 is 408044.

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., 24630163600 + 141869742336 = 156940^2 + 376656^2 .

It is not an unprimeable number, because it can be changed into a prime (166499905933) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2822032275 + ... + 2822032333.

Almost surely, 2^166499905936 is an apocalyptic number.

166499905936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166499905936 is the 408044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166499905936

166499905936 is an abundant number, since it is smaller than the sum of its proper divisors (269753209745).

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

166499905936 is a wasteful number, since it uses less digits than its factorization.

166499905936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 67.

The spelling of 166499905936 in words is "one hundred sixty-six billion, four hundred ninety-nine million, nine hundred five thousand, nine hundred thirty-six".