166148259200 has 288 divisors, whose sum is σ = 520858236600. Its totient is φ = 51785932800.

The previous prime is 166148259181. The next prime is 166148259203. The reversal of 166148259200 is 2952841661.

166148259200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×166148259200⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166148259203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1676636 + ... + 1772964.

Almost surely, 2^166148259200 is an apocalyptic number.

166148259200 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 166148259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260429118300).

166148259200 is an abundant number, since it is smaller than the sum of its proper divisors (354709977400).

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

166148259200 is a wasteful number, since it uses less digits than its factorization.

166148259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96378 (or 96354 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 166148259200 in words is "one hundred sixty-six billion, one hundred forty-eight million, two hundred fifty-nine thousand, two hundred".