166910346900 has 1152 divisors, whose sum is σ = 662357606400. Its totient is φ = 35533209600.

The previous prime is 166910346877. The next prime is 166910346901. The reversal of 166910346900 is 9643019661.

166910346900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166910346900³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166910346901) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1218323632 + ... + 1218323768.

It is an arithmetic number, because the mean of its divisors is an integer number (574963200).

Almost surely, 2^166910346900 is an apocalyptic number.

166910346900 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 166910346900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331178803200).

166910346900 is an abundant number, since it is smaller than the sum of its proper divisors (495447259500).

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

166910346900 is a wasteful number, since it uses less digits than its factorization.

166910346900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 166910346900 in words is "one hundred sixty-six billion, nine hundred ten million, three hundred forty-six thousand, nine hundred".