4465305216000 has 528 divisors, whose sum is σ = 16938033490560. Its totient is φ = 1128071577600.

The previous prime is 4465305215993. The next prime is 4465305216037. The reversal of 4465305216000 is 6125035644.

4465305216000 is a `hidden beast` number, since 4 + 46 + 5 + 3 + 0 + 5 + 2 + 1 + 600 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21785997 + ... + 21990003.

Almost surely, 2^{4465305216000} is an apocalyptic number.

4465305216000 is a gapful number since it is divisible by the number (40) 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 4465305216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469016745280).

4465305216000 is an abundant number, since it is smaller than the sum of its proper divisors (12472728274560).

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

4465305216000 is a wasteful number, since it uses less digits than its factorization.

4465305216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204067 (or 204036 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4465305216000 in words is "four trillion, four hundred sixty-five billion, three hundred five million, two hundred sixteen thousand".