201048211456 has 135 divisors (see below), whose sum is σ = 419182300173. Its totient is φ = 96420495360.

The previous prime is 201048211453. The next prime is 201048211471. The reversal of 201048211456 is 654112840102.

The square root of 201048211456 is 448384.

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

201048211456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3542630400 + 197505581056 = 59520^2 + 444416^2 .

It is not an unprimeable number, because it can be changed into a prime (201048211453) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1779187656 + ... + 1779187768.

Almost surely, 2^201048211456 is an apocalyptic number.

201048211456 is the 448384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201048211456

201048211456 is an abundant number, since it is smaller than the sum of its proper divisors (218134088717).

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

201048211456 is an frugal number, since it uses more digits than its factorization.

201048211456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 201048211456 in words is "two hundred one billion, forty-eight million, two hundred eleven thousand, four hundred fifty-six".