201739315712 has 120 divisors (see below), whose sum is σ = 458341953300. Its totient is φ = 88536842240.

The previous prime is 201739315697. The next prime is 201739315769. The reversal of 201739315712 is 217513937102.

It can be written as a sum of positive squares in 2 ways, for example, as 173842299136 + 27897016576 = 416944^2 + 167024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201739315712.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1740464 + ... + 1852752.

Almost surely, 2^201739315712 is an apocalyptic number.

201739315712 is a gapful number since it is divisible by the number (22) 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 201739315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229170976650).

201739315712 is an abundant number, since it is smaller than the sum of its proper divisors (256602637588).

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

201739315712 is a wasteful number, since it uses less digits than its factorization.

201739315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112358 (or 112331 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The spelling of 201739315712 in words is "two hundred one billion, seven hundred thirty-nine million, three hundred fifteen thousand, seven hundred twelve".