200295017468992 has 112 divisors (see below), whose sum is σ = 410163632046000. Its totient is φ = 96983689789440.

The previous prime is 200295017468983. The next prime is 200295017468999. The reversal of 200295017468992 is 299864710592002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28154739658816 + 172140277810176 = 5306104^2 + 13120224^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (200295017468999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581991238 + ... + 582335290.

It is an arithmetic number, because the mean of its divisors is an integer number (3662175286125).

Almost surely, 2^{200295017468992} 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 200295017468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205081816023000).

200295017468992 is an abundant number, since it is smaller than the sum of its proper divisors (209868614577008).

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

200295017468992 is a wasteful number, since it uses less digits than its factorization.

200295017468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345744 (or 345734 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 200295017468992 in words is "two hundred trillion, two hundred ninety-five billion, seventeen million, four hundred sixty-eight thousand, nine hundred ninety-two".