201307016448 has 432 divisors, whose sum is σ = 632205275520. Its totient is φ = 63852281856.

The previous prime is 201307016447. The next prime is 201307016479. The reversal of 201307016448 is 844610703102.

201307016448 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 7 + 0 + 1 + 644 + 8 = 666.

201307016448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201307016447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043041440 + ... + 1043041632.

Almost surely, 2^201307016448 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 201307016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316102637760).

201307016448 is an abundant number, since it is smaller than the sum of its proper divisors (430898259072).

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

201307016448 is an frugal number, since it uses more digits than its factorization.

201307016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 201307016448 in words is "two hundred one billion, three hundred seven million, sixteen thousand, four hundred forty-eight".