201397451782849 has 27 divisors (see below), whose sum is σ = 235177792035363. Its totient is φ = 171966399343200.

The previous prime is 201397451782847. The next prime is 201397451782873. The reversal of 201397451782849 is 948287154793102.

It is a happy number.

The square root of 201397451782849 is 14191457.

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

It can be written as a sum of positive squares in only one way, i.e., 174773502957249 + 26623948825600 = 13220193^2 + 5159840^2 .

It is not a de Polignac number, because 201397451782849 - 2¹ = 201397451782847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201397451782841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26921190189 + ... + 26921197669.

Almost surely, 2^{201397451782849} is an apocalyptic number.

201397451782849 is the 14191457-th square number.

201397451782849 is the 7095729-th centered octagonal number.

It is an amenable number.

201397451782849 is a deficient number, since it is larger than the sum of its proper divisors (33780340252514).

201397451782849 is an frugal number, since it uses more digits than its factorization.

201397451782849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15518 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 201397451782849 in words is "two hundred one trillion, three hundred ninety-seven billion, four hundred fifty-one million, seven hundred eighty-two thousand, eight hundred forty-nine".