200782233045264 has 160 divisors (see below), whose sum is σ = 565071811839360. Its totient is φ = 61062389600256.

The previous prime is 200782233045227. The next prime is 200782233045311. The reversal of 200782233045264 is 462540332287002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149668174 + ... + 151003730.

It is an arithmetic number, because the mean of its divisors is an integer number (3531698823996).

Almost surely, 2^{200782233045264} is an apocalyptic number.

200782233045264 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 200782233045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282535905919680).

200782233045264 is an abundant number, since it is smaller than the sum of its proper divisors (364289578794096).

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

200782233045264 is a wasteful number, since it uses less digits than its factorization.

200782233045264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338377 (or 1338371 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 200782233045264 in words is "two hundred trillion, seven hundred eighty-two billion, two hundred thirty-three million, forty-five thousand, two hundred sixty-four".