166357936900 has 27 divisors (see below), whose sum is σ = 361005574069. Its totient is φ = 66541543280.

The previous prime is 166357936897. The next prime is 166357936957. The reversal of 166357936900 is 9639753661.

The square root of 166357936900 is 407870.

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

166357936900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59888857284 + 106469079616 = 244722^2 + 326296^2 .

It is a super-2 number, since 2×166357936900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4058307 + ... + 4099093.

Almost surely, 2^166357936900 is an apocalyptic number.

166357936900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166357936900 is the 407870-th square number.

It is an amenable number.

166357936900 is an abundant number, since it is smaller than the sum of its proper divisors (194647637169).

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

166357936900 is an frugal number, since it uses more digits than its factorization.

166357936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81588 (or 40794 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 55.

The spelling of 166357936900 in words is "one hundred sixty-six billion, three hundred fifty-seven million, nine hundred thirty-six thousand, nine hundred".