166836303936 has 441 divisors, whose sum is σ = 521446158909. Its totient is φ = 52935897600.

The previous prime is 166836303899. The next prime is 166836303943. The reversal of 166836303936 is 639303638661.

It is a happy number.

The square root of 166836303936 is 408456.

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., 5425206336 + 161411097600 = 73656^2 + 401760^2 .

It is a super-2 number, since 2×166836303936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2735021346 + ... + 2735021406.

Almost surely, 2^166836303936 is an apocalyptic number.

166836303936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166836303936 is the 408456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166836303936

166836303936 is an abundant number, since it is smaller than the sum of its proper divisors (354609854973).

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

166836303936 is an frugal number, since it uses more digits than its factorization.

166836303936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 166836303936 in words is "one hundred sixty-six billion, eight hundred thirty-six million, three hundred three thousand, nine hundred thirty-six".