166243752900 has 81 divisors (see below), whose sum is σ = 521120150733. Its totient is φ = 44328405600.

The previous prime is 166243752889. The next prime is 166243752919. The reversal of 166243752900 is 9257342661.

The square root of 166243752900 is 407730.

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

166243752900 is a `hidden beast` number, since 16 + 624 + 3 + 7 + 5 + 2 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59847751044 + 106396001856 = 244638^2 + 326184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12225105 + ... + 12238695.

Almost surely, 2^166243752900 is an apocalyptic number.

166243752900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166243752900 is the 407730-th square number.

It is an amenable number.

166243752900 is an abundant number, since it is smaller than the sum of its proper divisors (354876397833).

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

166243752900 is an equidigital number, since it uses as much as digits as its factorization.

166243752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27202 (or 13601 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 166243752900 in words is "one hundred sixty-six billion, two hundred forty-three million, seven hundred fifty-two thousand, nine hundred".