201281438736 has 315 divisors, whose sum is σ = 663277020861. Its totient is φ = 56981377152.

The previous prime is 201281438719. The next prime is 201281438773. The reversal of 201281438736 is 637834182102.

The square root of 201281438736 is 448644.

It is a perfect power (a square), and thus also a powerful number.

201281438736 is a `hidden beast` number, since 20 + 128 + 1 + 438 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140292197136 + 60989241600 = 374556^2 + 246960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201281438691 and 201281438700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1846618650 + ... + 1846618758.

Almost surely, 2^201281438736 is an apocalyptic number.

201281438736 is the 448644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201281438736

201281438736 is an abundant number, since it is smaller than the sum of its proper divisors (461995582125).

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

201281438736 is an frugal number, since it uses more digits than its factorization.

201281438736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 201281438736 in words is "two hundred one billion, two hundred eighty-one million, four hundred thirty-eight thousand, seven hundred thirty-six".