166834163944900 has 81 divisors (see below), whose sum is σ = 384583787242599. Its totient is φ = 62807329186560.

The previous prime is 166834163944897. The next prime is 166834163944901. The reversal of 166834163944900 is 9449361438661.

The square root of 166834163944900 is 12916430.

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

166834163944900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3902418506116 + 162931745438784 = 1975454^2 + 12764472^2 .

It is a super-2 number, since 2×166834163944900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166834163944901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2195755111 + ... + 2195831089.

Almost surely, 2^{166834163944900} is an apocalyptic number.

166834163944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166834163944900 is the 12916430-th square number.

It is an amenable number.

166834163944900 is an abundant number, since it is smaller than the sum of its proper divisors (217749623297699).

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

166834163944900 is an frugal number, since it uses more digits than its factorization.

166834163944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152006 (or 76003 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 64.

The spelling of 166834163944900 in words is "one hundred sixty-six trillion, eight hundred thirty-four billion, one hundred sixty-three million, nine hundred forty-four thousand, nine hundred".