166148182200 has 384 divisors, whose sum is σ = 691550737920. Its totient is φ = 31868467200.

The previous prime is 166148182171. The next prime is 166148182201. The reversal of 166148182200 is 2281841661.

It is a super-5 number, since 5×166148182200⁵ (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166148182201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462282 + ... + 738918.

It is an arithmetic number, because the mean of its divisors is an integer number (1800913380).

Almost surely, 2^166148182200 is an apocalyptic number.

166148182200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166148182200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345775368960).

166148182200 is an abundant number, since it is smaller than the sum of its proper divisors (525402555720).

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

166148182200 is a wasteful number, since it uses less digits than its factorization.

166148182200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276687 (or 276678 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 166148182200 in words is "one hundred sixty-six billion, one hundred forty-eight million, one hundred eighty-two thousand, two hundred".