4665146304 has 672 divisors, whose sum is σ = 17135124480. Its totient is φ = 1091211264.

The previous prime is 4665146303. The next prime is 4665146347. The reversal of 4665146304 is 4036415664.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4665146303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99258409 + ... + 99258455.

Almost surely, 2^4665146304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4665146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567562240).

4665146304 is an abundant number, since it is smaller than the sum of its proper divisors (12469978176).

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

4665146304 is a wasteful number, since it uses less digits than its factorization.

4665146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 4665146304 is about 68301.8762846234. The cubic root of 4665146304 is about 1670.9178150144.

The spelling of 4665146304 in words is "four billion, six hundred sixty-five million, one hundred forty-six thousand, three hundred four".