200646146664 has 96 divisors (see below), whose sum is σ = 563033203200. Its totient is φ = 64483758720.

The previous prime is 200646146627. The next prime is 200646146681. The reversal of 200646146664 is 466641646002.

It is a super-3 number, since 3×200646146664³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433317 + ... + 767499.

It is an arithmetic number, because the mean of its divisors is an integer number (5864929200).

Almost surely, 2^200646146664 is an apocalyptic number.

200646146664 is a gapful number since it is divisible by the number (24) 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 200646146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281516601600).

200646146664 is an abundant number, since it is smaller than the sum of its proper divisors (362387056536).

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

200646146664 is a wasteful number, since it uses less digits than its factorization.

200646146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334495 (or 334488 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 200646146664 in words is "two hundred billion, six hundred forty-six million, one hundred forty-six thousand, six hundred sixty-four".