4465132190208 has 400 divisors, whose sum is σ = 13852743680160. Its totient is φ = 1430662569984.

The previous prime is 4465132190203. The next prime is 4465132190221. The reversal of 4465132190208 is 8020912315644.

4465132190208 is a `hidden beast` number, since 4 + 4 + 6 + 513 + 21 + 90 + 20 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4465132190203) 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 39 ways as a sum of consecutive naturals, for example, 127342983 + ... + 127378041.

Almost surely, 2^{4465132190208} is an apocalyptic number.

4465132190208 is a gapful number since it is divisible by the number (48) 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 4465132190208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926371840080).

4465132190208 is an abundant number, since it is smaller than the sum of its proper divisors (9387611489952).

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

4465132190208 is an equidigital number, since it uses as much as digits as its factorization.

4465132190208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35209 (or 35184 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4465132190208 in words is "four trillion, four hundred sixty-five billion, one hundred thirty-two million, one hundred ninety thousand, two hundred eight".