200749151584512 has 216 divisors, whose sum is σ = 583029500799200. Its totient is φ = 66428576907264.

The previous prime is 200749151584483. The next prime is 200749151584537. The reversal of 200749151584512 is 215485151947002.

200749151584512 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 4 + 9 + 1 + 5 + 1 + 584 + 51 + 2 = 666.

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, 4271871288 + ... + 4271918280.

Almost surely, 2^{200749151584512} 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 200749151584512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291514750399600).

200749151584512 is an abundant number, since it is smaller than the sum of its proper divisors (382280349214688).

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

200749151584512 is a wasteful number, since it uses less digits than its factorization.

200749151584512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60493 (or 60476 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 200749151584512 in words is "two hundred trillion, seven hundred forty-nine billion, one hundred fifty-one million, five hundred eighty-four thousand, five hundred twelve".