4466512512 has 384 divisors, whose sum is σ = 16411000320. Its totient is φ = 1132185600.

The previous prime is 4466512487. The next prime is 4466512529. The reversal of 4466512512 is 2152156644.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3813687 + ... + 3814857.

It is an arithmetic number, because the mean of its divisors is an integer number (42736980).

Almost surely, 2^4466512512 is an apocalyptic number.

4466512512 is a gapful number since it is divisible by the number (42) 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 4466512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205500160).

4466512512 is an abundant number, since it is smaller than the sum of its proper divisors (11944487808).

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

4466512512 is a wasteful number, since it uses less digits than its factorization.

4466512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1237 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4466512512 is about 66831.9722288666. The cubic root of 4466512512 is about 1646.8581180871.

The spelling of 4466512512 in words is "four billion, four hundred sixty-six million, five hundred twelve thousand, five hundred twelve".