200658881664 has 160 divisors (see below), whose sum is σ = 603869993100. Its totient is φ = 66134458368.

The previous prime is 200658881653. The next prime is 200658881677. The reversal of 200658881664 is 466188856002.

It can be written as a sum of positive squares in 2 ways, for example, as 185940339264 + 14718542400 = 431208^2 + 121320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 200658881664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 814024 + ... + 1031480.

Almost surely, 2^200658881664 is an apocalyptic number.

200658881664 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 200658881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301934996550).

200658881664 is an abundant number, since it is smaller than the sum of its proper divisors (403211111436).

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

200658881664 is an equidigital number, since it uses as much as digits as its factorization.

200658881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217572 (or 217551 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 200658881664 in words is "two hundred billion, six hundred fifty-eight million, eight hundred eighty-one thousand, six hundred sixty-four".