146669468160 has 160 divisors (see below), whose sum is σ = 481557428352. Its totient is φ = 38054707200.

The previous prime is 146669468089. The next prime is 146669468161. The reversal of 146669468160 is 61864966641.

146669468160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 146669468160.

It is not an unprimeable number, because it can be changed into a prime (146669468161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26085 + ... + 542235.

Almost surely, 2^146669468160 is an apocalyptic number.

146669468160 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 146669468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240778714176).

146669468160 is an abundant number, since it is smaller than the sum of its proper divisors (334887960192).

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

146669468160 is an equidigital number, since it uses as much as digits as its factorization.

146669468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516214 (or 516198 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 146669468160 in words is "one hundred forty-six billion, six hundred sixty-nine million, four hundred sixty-eight thousand, one hundred sixty".