160666146400 has 144 divisors (see below), whose sum is σ = 397228950720. Its totient is φ = 63448985600.

The previous prime is 160666146391. The next prime is 160666146401. The reversal of 160666146400 is 4641666061.

It is a super-2 number, since 2×160666146400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160666146401) 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 23 ways as a sum of consecutive naturals, for example, 64861962 + ... + 64864438.

It is an arithmetic number, because the mean of its divisors is an integer number (2758534380).

Almost surely, 2^160666146400 is an apocalyptic number.

160666146400 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 160666146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198614475360).

160666146400 is an abundant number, since it is smaller than the sum of its proper divisors (236562804320).

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

160666146400 is a wasteful number, since it uses less digits than its factorization.

160666146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 160666146400 in words is "one hundred sixty billion, six hundred sixty-six million, one hundred forty-six thousand, four hundred".